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Finding the Fourth Proportional to 16,337.39, 22,546.80 and 9,168.14

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Solution

The fourth proportional to 16,337.39, 22,546.80 and 9,168.14 is: 12,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.39 : 22,546.80 = 9,168.14 : x
  2. Step 2: Convert to fraction form
    16,337.39/22,546.80 = 9,168.14/x
  3. Step 3: Cross multiply
    16,337.39x = 22,546.80 × 9,168.14
  4. Step 4: Simplify right side
    16,337.39x = 206,712,106.22
  5. Step 5: Solve for x
    x = 206,712,106.22/16,337.39
  6. Step 6: Final answer
    x = 12,652.70

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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.