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Finding the Fourth Proportional to 17,932.68, 24,746.76 and 9,974.85

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Solution

The fourth proportional to 17,932.68, 24,746.76 and 9,974.85 is: 13,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.68 : 24,746.76 = 9,974.85 : x
  2. Step 2: Convert to fraction form
    17,932.68/24,746.76 = 9,974.85/x
  3. Step 3: Cross multiply
    17,932.68x = 24,746.76 × 9,974.85
  4. Step 4: Simplify right side
    17,932.68x = 246,845,218.99
  5. Step 5: Solve for x
    x = 246,845,218.99/17,932.68
  6. Step 6: Final answer
    x = 13,765.10

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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.