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Finding the Fourth Proportional to 17,488.60, 24,115.21 and 11,813.49

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Solution

The fourth proportional to 17,488.60, 24,115.21 and 11,813.49 is: 16,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.60 : 24,115.21 = 11,813.49 : x
  2. Step 2: Convert to fraction form
    17,488.60/24,115.21 = 11,813.49/x
  3. Step 3: Cross multiply
    17,488.60x = 24,115.21 × 11,813.49
  4. Step 4: Simplify right side
    17,488.60x = 284,884,805.38
  5. Step 5: Solve for x
    x = 284,884,805.38/17,488.60
  6. Step 6: Final answer
    x = 16,289.75

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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.