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Finding the Fourth Proportional to 22,124.74, 30,531.82 and 12,564.54

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Solution

The fourth proportional to 22,124.74, 30,531.82 and 12,564.54 is: 17,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,124.74 : 30,531.82 = 12,564.54 : x
  2. Step 2: Convert to fraction form
    22,124.74/30,531.82 = 12,564.54/x
  3. Step 3: Cross multiply
    22,124.74x = 30,531.82 × 12,564.54
  4. Step 4: Simplify right side
    22,124.74x = 383,618,273.66
  5. Step 5: Solve for x
    x = 383,618,273.66/22,124.74
  6. Step 6: Final answer
    x = 17,338.88

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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.