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Finding the Fourth Proportional to 26,704, 40,062.84 and 10,064.17

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Solution

The fourth proportional to 26,704, 40,062.84 and 10,064.17 is: 15,098.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,704 : 40,062.84 = 10,064.17 : x
  2. Step 2: Convert to fraction form
    26,704/40,062.84 = 10,064.17/x
  3. Step 3: Cross multiply
    26,704x = 40,062.84 × 10,064.17
  4. Step 4: Simplify right side
    26,704x = 403,199,232.44
  5. Step 5: Solve for x
    x = 403,199,232.44/26,704
  6. Step 6: Final answer
    x = 15,098.83

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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.