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Finding the Fourth Proportional to 26,782.38, 36,956.52 and 15,447.78

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Solution

The fourth proportional to 26,782.38, 36,956.52 and 15,447.78 is: 21,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.38 : 36,956.52 = 15,447.78 : x
  2. Step 2: Convert to fraction form
    26,782.38/36,956.52 = 15,447.78/x
  3. Step 3: Cross multiply
    26,782.38x = 36,956.52 × 15,447.78
  4. Step 4: Simplify right side
    26,782.38x = 570,896,190.53
  5. Step 5: Solve for x
    x = 570,896,190.53/26,782.38
  6. Step 6: Final answer
    x = 21,316.11

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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.