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Finding the Fourth Proportional to 26,871, 40,323.98 and 10,231.17

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Solution

The fourth proportional to 26,871, 40,323.98 and 10,231.17 is: 15,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,871 : 40,323.98 = 10,231.17 : x
  2. Step 2: Convert to fraction form
    26,871/40,323.98 = 10,231.17/x
  3. Step 3: Cross multiply
    26,871x = 40,323.98 × 10,231.17
  4. Step 4: Simplify right side
    26,871x = 412,561,494.46
  5. Step 5: Solve for x
    x = 412,561,494.46/26,871
  6. Step 6: Final answer
    x = 15,353.41

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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.