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Finding the Fourth Proportional to 26,251.40, 36,226.95 and 14,314.76

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Solution

The fourth proportional to 26,251.40, 36,226.95 and 14,314.76 is: 19,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,251.40 : 36,226.95 = 14,314.76 : x
  2. Step 2: Convert to fraction form
    26,251.40/36,226.95 = 14,314.76/x
  3. Step 3: Cross multiply
    26,251.40x = 36,226.95 × 14,314.76
  4. Step 4: Simplify right side
    26,251.40x = 518,580,094.78
  5. Step 5: Solve for x
    x = 518,580,094.78/26,251.40
  6. Step 6: Final answer
    x = 19,754.38

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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.