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Finding the Fourth Proportional to 16,578.02, 22,882.49 and 9,868.38

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Solution

The fourth proportional to 16,578.02, 22,882.49 and 9,868.38 is: 13,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.02 : 22,882.49 = 9,868.38 : x
  2. Step 2: Convert to fraction form
    16,578.02/22,882.49 = 9,868.38/x
  3. Step 3: Cross multiply
    16,578.02x = 22,882.49 × 9,868.38
  4. Step 4: Simplify right side
    16,578.02x = 225,813,106.67
  5. Step 5: Solve for x
    x = 225,813,106.67/16,578.02
  6. Step 6: Final answer
    x = 13,621.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.