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Finding the Fourth Proportional to 24,974.91, 34,465.14 and 13,644.38

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Solution

The fourth proportional to 24,974.91, 34,465.14 and 13,644.38 is: 18,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974.91 : 34,465.14 = 13,644.38 : x
  2. Step 2: Convert to fraction form
    24,974.91/34,465.14 = 13,644.38/x
  3. Step 3: Cross multiply
    24,974.91x = 34,465.14 × 13,644.38
  4. Step 4: Simplify right side
    24,974.91x = 470,255,553.08
  5. Step 5: Solve for x
    x = 470,255,553.08/24,974.91
  6. Step 6: Final answer
    x = 18,829.12

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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.