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Finding the Fourth Proportional to 26,251.38, 36,226.71 and 14,314.68

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Solution

The fourth proportional to 26,251.38, 36,226.71 and 14,314.68 is: 19,754.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,251.38 : 36,226.71 = 14,314.68 : x
  2. Step 2: Convert to fraction form
    26,251.38/36,226.71 = 14,314.68/x
  3. Step 3: Cross multiply
    26,251.38x = 36,226.71 × 14,314.68
  4. Step 4: Simplify right side
    26,251.38x = 518,573,761.10
  5. Step 5: Solve for x
    x = 518,573,761.10/26,251.38
  6. Step 6: Final answer
    x = 19,754.15

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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.