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Finding the Fourth Proportional to 17,929.46, 24,731.16 and 11,564.18

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Solution

The fourth proportional to 17,929.46, 24,731.16 and 11,564.18 is: 15,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,929.46 : 24,731.16 = 11,564.18 : x
  2. Step 2: Convert to fraction form
    17,929.46/24,731.16 = 11,564.18/x
  3. Step 3: Cross multiply
    17,929.46x = 24,731.16 × 11,564.18
  4. Step 4: Simplify right side
    17,929.46x = 285,995,585.85
  5. Step 5: Solve for x
    x = 285,995,585.85/17,929.46
  6. Step 6: Final answer
    x = 15,951.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.