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Finding the Fourth Proportional to 24,251.78, 36,392.22 and 10,400.78

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Solution

The fourth proportional to 24,251.78, 36,392.22 and 10,400.78 is: 15,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251.78 : 36,392.22 = 10,400.78 : x
  2. Step 2: Convert to fraction form
    24,251.78/36,392.22 = 10,400.78/x
  3. Step 3: Cross multiply
    24,251.78x = 36,392.22 × 10,400.78
  4. Step 4: Simplify right side
    24,251.78x = 378,507,473.93
  5. Step 5: Solve for x
    x = 378,507,473.93/24,251.78
  6. Step 6: Final answer
    x = 15,607.41

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