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Finding the Fourth Proportional to 24,940, 34,417.68 and 13,761.76

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Solution

The fourth proportional to 24,940, 34,417.68 and 13,761.76 is: 18,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,940 : 34,417.68 = 13,761.76 : x
  2. Step 2: Convert to fraction form
    24,940/34,417.68 = 13,761.76/x
  3. Step 3: Cross multiply
    24,940x = 34,417.68 × 13,761.76
  4. Step 4: Simplify right side
    24,940x = 473,647,851.92
  5. Step 5: Solve for x
    x = 473,647,851.92/24,940
  6. Step 6: Final answer
    x = 18,991.49

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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.