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Finding the Fourth Proportional to 17,738.60, 24,479.24 and 9,781.31

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Solution

The fourth proportional to 17,738.60, 24,479.24 and 9,781.31 is: 13,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.60 : 24,479.24 = 9,781.31 : x
  2. Step 2: Convert to fraction form
    17,738.60/24,479.24 = 9,781.31/x
  3. Step 3: Cross multiply
    17,738.60x = 24,479.24 × 9,781.31
  4. Step 4: Simplify right side
    17,738.60x = 239,439,047.30
  5. Step 5: Solve for x
    x = 239,439,047.30/17,738.60
  6. Step 6: Final answer
    x = 13,498.20

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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.