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Finding the Fourth Proportional to 17,894.91, 24,697.25 and 10,821.38

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Solution

The fourth proportional to 17,894.91, 24,697.25 and 10,821.38 is: 14,934.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.91 : 24,697.25 = 10,821.38 : x
  2. Step 2: Convert to fraction form
    17,894.91/24,697.25 = 10,821.38/x
  3. Step 3: Cross multiply
    17,894.91x = 24,697.25 × 10,821.38
  4. Step 4: Simplify right side
    17,894.91x = 267,258,149.61
  5. Step 5: Solve for x
    x = 267,258,149.61/17,894.91
  6. Step 6: Final answer
    x = 14,934.87

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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.