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Finding the Fourth Proportional to 17,343.70, 23,934.14 and 9,385.76

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Solution

The fourth proportional to 17,343.70, 23,934.14 and 9,385.76 is: 12,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,343.70 : 23,934.14 = 9,385.76 : x
  2. Step 2: Convert to fraction form
    17,343.70/23,934.14 = 9,385.76/x
  3. Step 3: Cross multiply
    17,343.70x = 23,934.14 × 9,385.76
  4. Step 4: Simplify right side
    17,343.70x = 224,640,093.85
  5. Step 5: Solve for x
    x = 224,640,093.85/17,343.70
  6. Step 6: Final answer
    x = 12,952.26

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1.5x scale

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.