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Finding the Fourth Proportional to 13,702.23, 18,909.11 and 7,414.61

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Solution

The fourth proportional to 13,702.23, 18,909.11 and 7,414.61 is: 10,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.23 : 18,909.11 = 7,414.61 : x
  2. Step 2: Convert to fraction form
    13,702.23/18,909.11 = 7,414.61/x
  3. Step 3: Cross multiply
    13,702.23x = 18,909.11 × 7,414.61
  4. Step 4: Simplify right side
    13,702.23x = 140,203,600.09
  5. Step 5: Solve for x
    x = 140,203,600.09/13,702.23
  6. Step 6: Final answer
    x = 10,232.17

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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.