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Finding the Fourth Proportional to 25,338.54, 38,007.90 and 14,943

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Solution

The fourth proportional to 25,338.54, 38,007.90 and 14,943 is: 22,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338.54 : 38,007.90 = 14,943 : x
  2. Step 2: Convert to fraction form
    25,338.54/38,007.90 = 14,943/x
  3. Step 3: Cross multiply
    25,338.54x = 38,007.90 × 14,943
  4. Step 4: Simplify right side
    25,338.54x = 567,952,049.70
  5. Step 5: Solve for x
    x = 567,952,049.70/25,338.54
  6. Step 6: Final answer
    x = 22,414.55

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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.