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Finding the Fourth Proportional to 16,217.61, 22,380.44 and 9,503.43

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Solution

The fourth proportional to 16,217.61, 22,380.44 and 9,503.43 is: 13,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.61 : 22,380.44 = 9,503.43 : x
  2. Step 2: Convert to fraction form
    16,217.61/22,380.44 = 9,503.43/x
  3. Step 3: Cross multiply
    16,217.61x = 22,380.44 × 9,503.43
  4. Step 4: Simplify right side
    16,217.61x = 212,690,897.39
  5. Step 5: Solve for x
    x = 212,690,897.39/16,217.61
  6. Step 6: Final answer
    x = 13,114.81

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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.