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Finding the Fourth Proportional to 24,752.44, 34,163.32 and 14,686.44

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Solution

The fourth proportional to 24,752.44, 34,163.32 and 14,686.44 is: 20,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,752.44 : 34,163.32 = 14,686.44 : x
  2. Step 2: Convert to fraction form
    24,752.44/34,163.32 = 14,686.44/x
  3. Step 3: Cross multiply
    24,752.44x = 34,163.32 × 14,686.44
  4. Step 4: Simplify right side
    24,752.44x = 501,737,549.38
  5. Step 5: Solve for x
    x = 501,737,549.38/24,752.44
  6. Step 6: Final answer
    x = 20,270.23

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Why These Related Problems?

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