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Finding the Fourth Proportional to 38,472.90, 57,702.06 and 13,507.08

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Solution

The fourth proportional to 38,472.90, 57,702.06 and 13,507.08 is: 20,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,472.90 : 57,702.06 = 13,507.08 : x
  2. Step 2: Convert to fraction form
    38,472.90/57,702.06 = 13,507.08/x
  3. Step 3: Cross multiply
    38,472.90x = 57,702.06 × 13,507.08
  4. Step 4: Simplify right side
    38,472.90x = 779,386,340.58
  5. Step 5: Solve for x
    x = 779,386,340.58/38,472.90
  6. Step 6: Final answer
    x = 20,258.06

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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.