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Finding the Fourth Proportional to 15,978,085.60, 23,978,938.20 and 10,584,943.60

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Solution

The fourth proportional to 15,978,085.60, 23,978,938.20 and 10,584,943.60 is: 15,885,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978,085.60 : 23,978,938.20 = 10,584,943.60 : x
  2. Step 2: Convert to fraction form
    15,978,085.60/23,978,938.20 = 10,584,943.60/x
  3. Step 3: Cross multiply
    15,978,085.60x = 23,978,938.20 × 10,584,943.60
  4. Step 4: Simplify right side
    15,978,085.60x = 253,815,708,434,885.50
  5. Step 5: Solve for x
    x = 253,815,708,434,885.50/15,978,085.60
  6. Step 6: Final answer
    x = 15,885,238.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.