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Finding the Fourth Proportional to 17,866.57, 24,655.25 and 9,909.53

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Solution

The fourth proportional to 17,866.57, 24,655.25 and 9,909.53 is: 13,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.57 : 24,655.25 = 9,909.53 : x
  2. Step 2: Convert to fraction form
    17,866.57/24,655.25 = 9,909.53/x
  3. Step 3: Cross multiply
    17,866.57x = 24,655.25 × 9,909.53
  4. Step 4: Simplify right side
    17,866.57x = 244,321,939.53
  5. Step 5: Solve for x
    x = 244,321,939.53/17,866.57
  6. Step 6: Final answer
    x = 13,674.81

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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.