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Finding the Fourth Proportional to 16,578.65, 22,877.83 and 9,024.82

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Solution

The fourth proportional to 16,578.65, 22,877.83 and 9,024.82 is: 12,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.65 : 22,877.83 = 9,024.82 : x
  2. Step 2: Convert to fraction form
    16,578.65/22,877.83 = 9,024.82/x
  3. Step 3: Cross multiply
    16,578.65x = 22,877.83 × 9,024.82
  4. Step 4: Simplify right side
    16,578.65x = 206,468,328.86
  5. Step 5: Solve for x
    x = 206,468,328.86/16,578.65
  6. Step 6: Final answer
    x = 12,453.87

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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.