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Finding the Fourth Proportional to 15,252.27, 22,841.15 and 9,400.83

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Solution

The fourth proportional to 15,252.27, 22,841.15 and 9,400.83 is: 14,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,252.27 : 22,841.15 = 9,400.83 : x
  2. Step 2: Convert to fraction form
    15,252.27/22,841.15 = 9,400.83/x
  3. Step 3: Cross multiply
    15,252.27x = 22,841.15 × 9,400.83
  4. Step 4: Simplify right side
    15,252.27x = 214,725,721.15
  5. Step 5: Solve for x
    x = 214,725,721.15/15,252.27
  6. Step 6: Final answer
    x = 14,078.28

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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.