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Finding the Fourth Proportional to 17,711.91, 24,443.19 and 10,160.37

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Solution

The fourth proportional to 17,711.91, 24,443.19 and 10,160.37 is: 14,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.91 : 24,443.19 = 10,160.37 : x
  2. Step 2: Convert to fraction form
    17,711.91/24,443.19 = 10,160.37/x
  3. Step 3: Cross multiply
    17,711.91x = 24,443.19 × 10,160.37
  4. Step 4: Simplify right side
    17,711.91x = 248,351,854.38
  5. Step 5: Solve for x
    x = 248,351,854.38/17,711.91
  6. Step 6: Final answer
    x = 14,021.74

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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.