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Finding the Fourth Proportional to 13,702.26, 18,909.97 and 7,731.75

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Solution

The fourth proportional to 13,702.26, 18,909.97 and 7,731.75 is: 10,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.26 : 18,909.97 = 7,731.75 : x
  2. Step 2: Convert to fraction form
    13,702.26/18,909.97 = 7,731.75/x
  3. Step 3: Cross multiply
    13,702.26x = 18,909.97 × 7,731.75
  4. Step 4: Simplify right side
    13,702.26x = 146,207,160.55
  5. Step 5: Solve for x
    x = 146,207,160.55/13,702.26
  6. Step 6: Final answer
    x = 10,670.30

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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.