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Finding the Fourth Proportional to 26,734, 40,115.68 and 13,587.50

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Solution

The fourth proportional to 26,734, 40,115.68 and 13,587.50 is: 20,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,734 : 40,115.68 = 13,587.50 : x
  2. Step 2: Convert to fraction form
    26,734/40,115.68 = 13,587.50/x
  3. Step 3: Cross multiply
    26,734x = 40,115.68 × 13,587.50
  4. Step 4: Simplify right side
    26,734x = 545,071,802
  5. Step 5: Solve for x
    x = 545,071,802/26,734
  6. Step 6: Final answer
    x = 20,388.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.