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Finding the Fourth Proportional to 26,217.70, 36,180.38 and 14,281

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Solution

The fourth proportional to 26,217.70, 36,180.38 and 14,281 is: 19,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,217.70 : 36,180.38 = 14,281 : x
  2. Step 2: Convert to fraction form
    26,217.70/36,180.38 = 14,281/x
  3. Step 3: Cross multiply
    26,217.70x = 36,180.38 × 14,281
  4. Step 4: Simplify right side
    26,217.70x = 516,692,006.78
  5. Step 5: Solve for x
    x = 516,692,006.78/26,217.70
  6. Step 6: Final answer
    x = 19,707.75

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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.