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Finding the Fourth Proportional to 24,872.25, 34,352.87 and 16,474.17

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Solution

The fourth proportional to 24,872.25, 34,352.87 and 16,474.17 is: 22,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.25 : 34,352.87 = 16,474.17 : x
  2. Step 2: Convert to fraction form
    24,872.25/34,352.87 = 16,474.17/x
  3. Step 3: Cross multiply
    24,872.25x = 34,352.87 × 16,474.17
  4. Step 4: Simplify right side
    24,872.25x = 565,934,938.00
  5. Step 5: Solve for x
    x = 565,934,938.00/24,872.25
  6. Step 6: Final answer
    x = 22,753.67

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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.