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Finding the Fourth Proportional to 20,861.60, 31,264.68 and 7,701.80

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Solution

The fourth proportional to 20,861.60, 31,264.68 and 7,701.80 is: 11,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.60 : 31,264.68 = 7,701.80 : x
  2. Step 2: Convert to fraction form
    20,861.60/31,264.68 = 7,701.80/x
  3. Step 3: Cross multiply
    20,861.60x = 31,264.68 × 7,701.80
  4. Step 4: Simplify right side
    20,861.60x = 240,794,312.42
  5. Step 5: Solve for x
    x = 240,794,312.42/20,861.60
  6. Step 6: Final answer
    x = 11,542.47

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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.