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Finding the Fourth Proportional to 16,974.32, 23,424.54 and 9,899.40

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Solution

The fourth proportional to 16,974.32, 23,424.54 and 9,899.40 is: 13,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.32 : 23,424.54 = 9,899.40 : x
  2. Step 2: Convert to fraction form
    16,974.32/23,424.54 = 9,899.40/x
  3. Step 3: Cross multiply
    16,974.32x = 23,424.54 × 9,899.40
  4. Step 4: Simplify right side
    16,974.32x = 231,888,891.28
  5. Step 5: Solve for x
    x = 231,888,891.28/16,974.32
  6. Step 6: Final answer
    x = 13,661.16

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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.