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Finding the Fourth Proportional to 15,337.12, 22,989.72 and 10,407.16

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Solution

The fourth proportional to 15,337.12, 22,989.72 and 10,407.16 is: 15,599.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,337.12 : 22,989.72 = 10,407.16 : x
  2. Step 2: Convert to fraction form
    15,337.12/22,989.72 = 10,407.16/x
  3. Step 3: Cross multiply
    15,337.12x = 22,989.72 × 10,407.16
  4. Step 4: Simplify right side
    15,337.12x = 239,257,694.40
  5. Step 5: Solve for x
    x = 239,257,694.40/15,337.12
  6. Step 6: Final answer
    x = 15,599.91

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