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Finding the Fourth Proportional to 15,865.46, 23,803.69 and 4,771.90

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Solution

The fourth proportional to 15,865.46, 23,803.69 and 4,771.90 is: 7,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.46 : 23,803.69 = 4,771.90 : x
  2. Step 2: Convert to fraction form
    15,865.46/23,803.69 = 4,771.90/x
  3. Step 3: Cross multiply
    15,865.46x = 23,803.69 × 4,771.90
  4. Step 4: Simplify right side
    15,865.46x = 113,588,828.31
  5. Step 5: Solve for x
    x = 113,588,828.31/15,865.46
  6. Step 6: Final answer
    x = 7,159.50

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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.