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Finding the Fourth Proportional to 15,162.84, 22,747.32 and 4,772.16

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Solution

The fourth proportional to 15,162.84, 22,747.32 and 4,772.16 is: 7,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162.84 : 22,747.32 = 4,772.16 : x
  2. Step 2: Convert to fraction form
    15,162.84/22,747.32 = 4,772.16/x
  3. Step 3: Cross multiply
    15,162.84x = 22,747.32 × 4,772.16
  4. Step 4: Simplify right side
    15,162.84x = 108,553,850.61
  5. Step 5: Solve for x
    x = 108,553,850.61/15,162.84
  6. Step 6: Final answer
    x = 7,159.20

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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.