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Finding the Fourth Proportional to 17,545.28, 24,219.20 and 10,832

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Solution

The fourth proportional to 17,545.28, 24,219.20 and 10,832 is: 14,952.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545.28 : 24,219.20 = 10,832 : x
  2. Step 2: Convert to fraction form
    17,545.28/24,219.20 = 10,832/x
  3. Step 3: Cross multiply
    17,545.28x = 24,219.20 × 10,832
  4. Step 4: Simplify right side
    17,545.28x = 262,342,374.40
  5. Step 5: Solve for x
    x = 262,342,374.40/17,545.28
  6. Step 6: Final answer
    x = 14,952.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.