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Finding the Fourth Proportional to 38,434.95, 57,654.23 and 11,414.52

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Solution

The fourth proportional to 38,434.95, 57,654.23 and 11,414.52 is: 17,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,434.95 : 57,654.23 = 11,414.52 : x
  2. Step 2: Convert to fraction form
    38,434.95/57,654.23 = 11,414.52/x
  3. Step 3: Cross multiply
    38,434.95x = 57,654.23 × 11,414.52
  4. Step 4: Simplify right side
    38,434.95x = 658,095,304.35
  5. Step 5: Solve for x
    x = 658,095,304.35/38,434.95
  6. Step 6: Final answer
    x = 17,122.31

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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.