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Finding the Fourth Proportional to 21,818.20, 32,711.10 and 8,663.80

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Solution

The fourth proportional to 21,818.20, 32,711.10 and 8,663.80 is: 12,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.20 : 32,711.10 = 8,663.80 : x
  2. Step 2: Convert to fraction form
    21,818.20/32,711.10 = 8,663.80/x
  3. Step 3: Cross multiply
    21,818.20x = 32,711.10 × 8,663.80
  4. Step 4: Simplify right side
    21,818.20x = 283,402,428.18
  5. Step 5: Solve for x
    x = 283,402,428.18/21,818.20
  6. Step 6: Final answer
    x = 12,989.27

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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.