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Finding the Fourth Proportional to 16,981.92, 23,432.94 and 9,903.24

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Solution

The fourth proportional to 16,981.92, 23,432.94 and 9,903.24 is: 13,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,981.92 : 23,432.94 = 9,903.24 : x
  2. Step 2: Convert to fraction form
    16,981.92/23,432.94 = 9,903.24/x
  3. Step 3: Cross multiply
    16,981.92x = 23,432.94 × 9,903.24
  4. Step 4: Simplify right side
    16,981.92x = 232,062,028.73
  5. Step 5: Solve for x
    x = 232,062,028.73/16,981.92
  6. Step 6: Final answer
    x = 13,665.24

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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.