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Finding the Fourth Proportional to 16,541.38, 22,823.49 and 9,829.27

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Solution

The fourth proportional to 16,541.38, 22,823.49 and 9,829.27 is: 13,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.38 : 22,823.49 = 9,829.27 : x
  2. Step 2: Convert to fraction form
    16,541.38/22,823.49 = 9,829.27/x
  3. Step 3: Cross multiply
    16,541.38x = 22,823.49 × 9,829.27
  4. Step 4: Simplify right side
    16,541.38x = 224,338,245.55
  5. Step 5: Solve for x
    x = 224,338,245.55/16,541.38
  6. Step 6: Final answer
    x = 13,562.24

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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.