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Finding the Fourth Proportional to 26,438, 36,484.44 and 14,662

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Solution

The fourth proportional to 26,438, 36,484.44 and 14,662 is: 20,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,438 : 36,484.44 = 14,662 : x
  2. Step 2: Convert to fraction form
    26,438/36,484.44 = 14,662/x
  3. Step 3: Cross multiply
    26,438x = 36,484.44 × 14,662
  4. Step 4: Simplify right side
    26,438x = 534,934,859.28
  5. Step 5: Solve for x
    x = 534,934,859.28/26,438
  6. Step 6: Final answer
    x = 20,233.56

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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.