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Finding the Fourth Proportional to 17,866.53, 24,657.12 and 9,910.26

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Solution

The fourth proportional to 17,866.53, 24,657.12 and 9,910.26 is: 13,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.53 : 24,657.12 = 9,910.26 : x
  2. Step 2: Convert to fraction form
    17,866.53/24,657.12 = 9,910.26/x
  3. Step 3: Cross multiply
    17,866.53x = 24,657.12 × 9,910.26
  4. Step 4: Simplify right side
    17,866.53x = 244,358,470.05
  5. Step 5: Solve for x
    x = 244,358,470.05/17,866.53
  6. Step 6: Final answer
    x = 13,676.88

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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.