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Finding the Fourth Proportional to 16,578.39, 22,872.40 and 9,407.46

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Solution

The fourth proportional to 16,578.39, 22,872.40 and 9,407.46 is: 12,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.39 : 22,872.40 = 9,407.46 : x
  2. Step 2: Convert to fraction form
    16,578.39/22,872.40 = 9,407.46/x
  3. Step 3: Cross multiply
    16,578.39x = 22,872.40 × 9,407.46
  4. Step 4: Simplify right side
    16,578.39x = 215,171,188.10
  5. Step 5: Solve for x
    x = 215,171,188.10/16,578.39
  6. Step 6: Final answer
    x = 12,979.02

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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.