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Finding the Fourth Proportional to 16,974.54, 23,422.71 and 9,419.82

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Solution

The fourth proportional to 16,974.54, 23,422.71 and 9,419.82 is: 12,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.54 : 23,422.71 = 9,419.82 : x
  2. Step 2: Convert to fraction form
    16,974.54/23,422.71 = 9,419.82/x
  3. Step 3: Cross multiply
    16,974.54x = 23,422.71 × 9,419.82
  4. Step 4: Simplify right side
    16,974.54x = 220,637,718.85
  5. Step 5: Solve for x
    x = 220,637,718.85/16,974.54
  6. Step 6: Final answer
    x = 12,998.16

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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.