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Finding the Fourth Proportional to 16,578.02, 22,877.96 and 9,024.57

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Solution

The fourth proportional to 16,578.02, 22,877.96 and 9,024.57 is: 12,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.02 : 22,877.96 = 9,024.57 : x
  2. Step 2: Convert to fraction form
    16,578.02/22,877.96 = 9,024.57/x
  3. Step 3: Cross multiply
    16,578.02x = 22,877.96 × 9,024.57
  4. Step 4: Simplify right side
    16,578.02x = 206,463,591.96
  5. Step 5: Solve for x
    x = 206,463,591.96/16,578.02
  6. Step 6: Final answer
    x = 12,454.06

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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.