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Finding the Fourth Proportional to 26,150.76, 36,086.55 and 14,214

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Solution

The fourth proportional to 26,150.76, 36,086.55 and 14,214 is: 19,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,150.76 : 36,086.55 = 14,214 : x
  2. Step 2: Convert to fraction form
    26,150.76/36,086.55 = 14,214/x
  3. Step 3: Cross multiply
    26,150.76x = 36,086.55 × 14,214
  4. Step 4: Simplify right side
    26,150.76x = 512,934,221.70
  5. Step 5: Solve for x
    x = 512,934,221.70/26,150.76
  6. Step 6: Final answer
    x = 19,614.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.