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Finding the Fourth Proportional to 21,829.26, 32,744.30 and 8,503.14

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Solution

The fourth proportional to 21,829.26, 32,744.30 and 8,503.14 is: 12,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.26 : 32,744.30 = 8,503.14 : x
  2. Step 2: Convert to fraction form
    21,829.26/32,744.30 = 8,503.14/x
  3. Step 3: Cross multiply
    21,829.26x = 32,744.30 × 8,503.14
  4. Step 4: Simplify right side
    21,829.26x = 278,429,367.10
  5. Step 5: Solve for x
    x = 278,429,367.10/21,829.26
  6. Step 6: Final answer
    x = 12,754.87

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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.