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Finding the Fourth Proportional to 17,932.22, 24,746.12 and 9,974.27

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Solution

The fourth proportional to 17,932.22, 24,746.12 and 9,974.27 is: 13,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.22 : 24,746.12 = 9,974.27 : x
  2. Step 2: Convert to fraction form
    17,932.22/24,746.12 = 9,974.27/x
  3. Step 3: Cross multiply
    17,932.22x = 24,746.12 × 9,974.27
  4. Step 4: Simplify right side
    17,932.22x = 246,824,494.33
  5. Step 5: Solve for x
    x = 246,824,494.33/17,932.22
  6. Step 6: Final answer
    x = 13,764.30

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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.