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Finding the Fourth Proportional to 17,143.17, 25,691.40 and 10,482

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Solution

The fourth proportional to 17,143.17, 25,691.40 and 10,482 is: 15,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,143.17 : 25,691.40 = 10,482 : x
  2. Step 2: Convert to fraction form
    17,143.17/25,691.40 = 10,482/x
  3. Step 3: Cross multiply
    17,143.17x = 25,691.40 × 10,482
  4. Step 4: Simplify right side
    17,143.17x = 269,297,254.80
  5. Step 5: Solve for x
    x = 269,297,254.80/17,143.17
  6. Step 6: Final answer
    x = 15,708.72

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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.