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Finding the Fourth Proportional to 15,927.70, 23,858.70 and 9,333.90

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Solution

The fourth proportional to 15,927.70, 23,858.70 and 9,333.90 is: 13,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,927.70 : 23,858.70 = 9,333.90 : x
  2. Step 2: Convert to fraction form
    15,927.70/23,858.70 = 9,333.90/x
  3. Step 3: Cross multiply
    15,927.70x = 23,858.70 × 9,333.90
  4. Step 4: Simplify right side
    15,927.70x = 222,694,719.93
  5. Step 5: Solve for x
    x = 222,694,719.93/15,927.70
  6. Step 6: Final answer
    x = 13,981.60

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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.