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Finding the Fourth Proportional to 10,059.16, 15,165.92 and 9,381.56

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Solution

The fourth proportional to 10,059.16, 15,165.92 and 9,381.56 is: 14,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.16 : 15,165.92 = 9,381.56 : x
  2. Step 2: Convert to fraction form
    10,059.16/15,165.92 = 9,381.56/x
  3. Step 3: Cross multiply
    10,059.16x = 15,165.92 × 9,381.56
  4. Step 4: Simplify right side
    10,059.16x = 142,279,988.44
  5. Step 5: Solve for x
    x = 142,279,988.44/10,059.16
  6. Step 6: Final answer
    x = 14,144.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.