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Finding the Fourth Proportional to 24,573.78, 36,860.64 and 6,105.78

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Solution

The fourth proportional to 24,573.78, 36,860.64 and 6,105.78 is: 9,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.78 : 36,860.64 = 6,105.78 : x
  2. Step 2: Convert to fraction form
    24,573.78/36,860.64 = 6,105.78/x
  3. Step 3: Cross multiply
    24,573.78x = 36,860.64 × 6,105.78
  4. Step 4: Simplify right side
    24,573.78x = 225,062,958.50
  5. Step 5: Solve for x
    x = 225,062,958.50/24,573.78
  6. Step 6: Final answer
    x = 9,158.66

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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.