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Finding the Fourth Proportional to 21,509.80, 32,265.24 and 10,414.42

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Solution

The fourth proportional to 21,509.80, 32,265.24 and 10,414.42 is: 15,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.80 : 32,265.24 = 10,414.42 : x
  2. Step 2: Convert to fraction form
    21,509.80/32,265.24 = 10,414.42/x
  3. Step 3: Cross multiply
    21,509.80x = 32,265.24 × 10,414.42
  4. Step 4: Simplify right side
    21,509.80x = 336,023,760.76
  5. Step 5: Solve for x
    x = 336,023,760.76/21,509.80
  6. Step 6: Final answer
    x = 15,621.89

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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.