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Finding the Fourth Proportional to 22,515.20, 33,752.16 and 8,653.76

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Solution

The fourth proportional to 22,515.20, 33,752.16 and 8,653.76 is: 12,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.20 : 33,752.16 = 8,653.76 : x
  2. Step 2: Convert to fraction form
    22,515.20/33,752.16 = 8,653.76/x
  3. Step 3: Cross multiply
    22,515.20x = 33,752.16 × 8,653.76
  4. Step 4: Simplify right side
    22,515.20x = 292,083,092.12
  5. Step 5: Solve for x
    x = 292,083,092.12/22,515.20
  6. Step 6: Final answer
    x = 12,972.71

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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.