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Finding the Fourth Proportional to 16,002.80, 22,035.46 and 12,634.82

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Solution

The fourth proportional to 16,002.80, 22,035.46 and 12,634.82 is: 17,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.80 : 22,035.46 = 12,634.82 : x
  2. Step 2: Convert to fraction form
    16,002.80/22,035.46 = 12,634.82/x
  3. Step 3: Cross multiply
    16,002.80x = 22,035.46 × 12,634.82
  4. Step 4: Simplify right side
    16,002.80x = 278,414,070.72
  5. Step 5: Solve for x
    x = 278,414,070.72/16,002.80
  6. Step 6: Final answer
    x = 17,397.83

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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.