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Finding the Fourth Proportional to 26,251.43, 36,226.32 and 14,315

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Solution

The fourth proportional to 26,251.43, 36,226.32 and 14,315 is: 19,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,251.43 : 36,226.32 = 14,315 : x
  2. Step 2: Convert to fraction form
    26,251.43/36,226.32 = 14,315/x
  3. Step 3: Cross multiply
    26,251.43x = 36,226.32 × 14,315
  4. Step 4: Simplify right side
    26,251.43x = 518,579,770.80
  5. Step 5: Solve for x
    x = 518,579,770.80/26,251.43
  6. Step 6: Final answer
    x = 19,754.34

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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.