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Finding the Fourth Proportional to 26,435, 36,480.30 and 14,659

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Solution

The fourth proportional to 26,435, 36,480.30 and 14,659 is: 20,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,435 : 36,480.30 = 14,659 : x
  2. Step 2: Convert to fraction form
    26,435/36,480.30 = 14,659/x
  3. Step 3: Cross multiply
    26,435x = 36,480.30 × 14,659
  4. Step 4: Simplify right side
    26,435x = 534,764,717.70
  5. Step 5: Solve for x
    x = 534,764,717.70/26,435
  6. Step 6: Final answer
    x = 20,229.42

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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.