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Finding the Fourth Proportional to 16,002.32, 22,034.78 and 12,634.34

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Solution

The fourth proportional to 16,002.32, 22,034.78 and 12,634.34 is: 17,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.32 : 22,034.78 = 12,634.34 : x
  2. Step 2: Convert to fraction form
    16,002.32/22,034.78 = 12,634.34/x
  3. Step 3: Cross multiply
    16,002.32x = 22,034.78 × 12,634.34
  4. Step 4: Simplify right side
    16,002.32x = 278,394,729.00
  5. Step 5: Solve for x
    x = 278,394,729.00/16,002.32
  6. Step 6: Final answer
    x = 17,397.15

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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.