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Finding the Fourth Proportional to 16,149.96, 22,286.63 and 9,862.34

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Solution

The fourth proportional to 16,149.96, 22,286.63 and 9,862.34 is: 13,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.96 : 22,286.63 = 9,862.34 : x
  2. Step 2: Convert to fraction form
    16,149.96/22,286.63 = 9,862.34/x
  3. Step 3: Cross multiply
    16,149.96x = 22,286.63 × 9,862.34
  4. Step 4: Simplify right side
    16,149.96x = 219,798,235.74
  5. Step 5: Solve for x
    x = 219,798,235.74/16,149.96
  6. Step 6: Final answer
    x = 13,609.83

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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.