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Finding the Fourth Proportional to 20,862.60, 31,266.18 and 7,702.80

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Solution

The fourth proportional to 20,862.60, 31,266.18 and 7,702.80 is: 11,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862.60 : 31,266.18 = 7,702.80 : x
  2. Step 2: Convert to fraction form
    20,862.60/31,266.18 = 7,702.80/x
  3. Step 3: Cross multiply
    20,862.60x = 31,266.18 × 7,702.80
  4. Step 4: Simplify right side
    20,862.60x = 240,837,131.30
  5. Step 5: Solve for x
    x = 240,837,131.30/20,862.60
  6. Step 6: Final answer
    x = 11,543.97

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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.