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Finding the Fourth Proportional to 16,314.38, 22,513.86 and 8,862.38

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Solution

The fourth proportional to 16,314.38, 22,513.86 and 8,862.38 is: 12,230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.38 : 22,513.86 = 8,862.38 : x
  2. Step 2: Convert to fraction form
    16,314.38/22,513.86 = 8,862.38/x
  3. Step 3: Cross multiply
    16,314.38x = 22,513.86 × 8,862.38
  4. Step 4: Simplify right side
    16,314.38x = 199,526,270.02
  5. Step 5: Solve for x
    x = 199,526,270.02/16,314.38
  6. Step 6: Final answer
    x = 12,230.09

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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.