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Finding the Fourth Proportional to 20,861.70, 31,296.65 and 7,714.19

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Solution

The fourth proportional to 20,861.70, 31,296.65 and 7,714.19 is: 11,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.70 : 31,296.65 = 7,714.19 : x
  2. Step 2: Convert to fraction form
    20,861.70/31,296.65 = 7,714.19/x
  3. Step 3: Cross multiply
    20,861.70x = 31,296.65 × 7,714.19
  4. Step 4: Simplify right side
    20,861.70x = 241,428,233.18
  5. Step 5: Solve for x
    x = 241,428,233.18/20,861.70
  6. Step 6: Final answer
    x = 11,572.80

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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.