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Finding the Fourth Proportional to 17,298.43, 25,937.13 and 6,766.49

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Solution

The fourth proportional to 17,298.43, 25,937.13 and 6,766.49 is: 10,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.43 : 25,937.13 = 6,766.49 : x
  2. Step 2: Convert to fraction form
    17,298.43/25,937.13 = 6,766.49/x
  3. Step 3: Cross multiply
    17,298.43x = 25,937.13 × 6,766.49
  4. Step 4: Simplify right side
    17,298.43x = 175,503,330.77
  5. Step 5: Solve for x
    x = 175,503,330.77/17,298.43
  6. Step 6: Final answer
    x = 10,145.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.