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Finding the Fourth Proportional to 22,517.52, 33,780.36 and 6,931.50

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Solution

The fourth proportional to 22,517.52, 33,780.36 and 6,931.50 is: 10,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.52 : 33,780.36 = 6,931.50 : x
  2. Step 2: Convert to fraction form
    22,517.52/33,780.36 = 6,931.50/x
  3. Step 3: Cross multiply
    22,517.52x = 33,780.36 × 6,931.50
  4. Step 4: Simplify right side
    22,517.52x = 234,148,565.34
  5. Step 5: Solve for x
    x = 234,148,565.34/22,517.52
  6. Step 6: Final answer
    x = 10,398.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.