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Finding the Fourth Proportional to 13,702.28, 18,909.15 and 7,414.64

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Solution

The fourth proportional to 13,702.28, 18,909.15 and 7,414.64 is: 10,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.28 : 18,909.15 = 7,414.64 : x
  2. Step 2: Convert to fraction form
    13,702.28/18,909.15 = 7,414.64/x
  3. Step 3: Cross multiply
    13,702.28x = 18,909.15 × 7,414.64
  4. Step 4: Simplify right side
    13,702.28x = 140,204,539.96
  5. Step 5: Solve for x
    x = 140,204,539.96/13,702.28
  6. Step 6: Final answer
    x = 10,232.21

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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.