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Finding the Fourth Proportional to 17,932.16, 24,746.03 and 9,974.21

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Solution

The fourth proportional to 17,932.16, 24,746.03 and 9,974.21 is: 13,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.16 : 24,746.03 = 9,974.21 : x
  2. Step 2: Convert to fraction form
    17,932.16/24,746.03 = 9,974.21/x
  3. Step 3: Cross multiply
    17,932.16x = 24,746.03 × 9,974.21
  4. Step 4: Simplify right side
    17,932.16x = 246,822,099.89
  5. Step 5: Solve for x
    x = 246,822,099.89/17,932.16
  6. Step 6: Final answer
    x = 13,764.21

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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.