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Finding the Fourth Proportional to 14,519.28, 21,781.20 and 5,754

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Solution

The fourth proportional to 14,519.28, 21,781.20 and 5,754 is: 8,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.28 : 21,781.20 = 5,754 : x
  2. Step 2: Convert to fraction form
    14,519.28/21,781.20 = 5,754/x
  3. Step 3: Cross multiply
    14,519.28x = 21,781.20 × 5,754
  4. Step 4: Simplify right side
    14,519.28x = 125,329,024.80
  5. Step 5: Solve for x
    x = 125,329,024.80/14,519.28
  6. Step 6: Final answer
    x = 8,631.90

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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.