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Finding the Fourth Proportional to 16,578.92, 22,876.33 and 9,503.97

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Solution

The fourth proportional to 16,578.92, 22,876.33 and 9,503.97 is: 13,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.92 : 22,876.33 = 9,503.97 : x
  2. Step 2: Convert to fraction form
    16,578.92/22,876.33 = 9,503.97/x
  3. Step 3: Cross multiply
    16,578.92x = 22,876.33 × 9,503.97
  4. Step 4: Simplify right side
    16,578.92x = 217,415,954.03
  5. Step 5: Solve for x
    x = 217,415,954.03/16,578.92
  6. Step 6: Final answer
    x = 13,114.00

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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.