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Finding the Fourth Proportional to 17,957.30, 24,778.16 and 10,404.32

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Solution

The fourth proportional to 17,957.30, 24,778.16 and 10,404.32 is: 14,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.30 : 24,778.16 = 10,404.32 : x
  2. Step 2: Convert to fraction form
    17,957.30/24,778.16 = 10,404.32/x
  3. Step 3: Cross multiply
    17,957.30x = 24,778.16 × 10,404.32
  4. Step 4: Simplify right side
    17,957.30x = 257,799,905.65
  5. Step 5: Solve for x
    x = 257,799,905.65/17,957.30
  6. Step 6: Final answer
    x = 14,356.27

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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.