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Finding the Fourth Proportional to 16,462.74, 24,686.43 and 9,539.22

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Solution

The fourth proportional to 16,462.74, 24,686.43 and 9,539.22 is: 14,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.74 : 24,686.43 = 9,539.22 : x
  2. Step 2: Convert to fraction form
    16,462.74/24,686.43 = 9,539.22/x
  3. Step 3: Cross multiply
    16,462.74x = 24,686.43 × 9,539.22
  4. Step 4: Simplify right side
    16,462.74x = 235,489,286.78
  5. Step 5: Solve for x
    x = 235,489,286.78/16,462.74
  6. Step 6: Final answer
    x = 14,304.38

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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.