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Finding the Fourth Proportional to 17,905.31, 24,708.15 and 9,947.54

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Solution

The fourth proportional to 17,905.31, 24,708.15 and 9,947.54 is: 13,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.31 : 24,708.15 = 9,947.54 : x
  2. Step 2: Convert to fraction form
    17,905.31/24,708.15 = 9,947.54/x
  3. Step 3: Cross multiply
    17,905.31x = 24,708.15 × 9,947.54
  4. Step 4: Simplify right side
    17,905.31x = 245,785,310.45
  5. Step 5: Solve for x
    x = 245,785,310.45/17,905.31
  6. Step 6: Final answer
    x = 13,726.95

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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.