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Finding the Fourth Proportional to 17,343.68, 23,934.32 and 9,386

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Solution

The fourth proportional to 17,343.68, 23,934.32 and 9,386 is: 12,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343.68 : 23,934.32 = 9,386 : x
  2. Step 2: Convert to fraction form
    17,343.68/23,934.32 = 9,386/x
  3. Step 3: Cross multiply
    17,343.68x = 23,934.32 × 9,386
  4. Step 4: Simplify right side
    17,343.68x = 224,647,527.52
  5. Step 5: Solve for x
    x = 224,647,527.52/17,343.68
  6. Step 6: Final answer
    x = 12,952.70

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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.