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Finding the Fourth Proportional to 16,524.78, 24,791.07 and 5,431.50

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Solution

The fourth proportional to 16,524.78, 24,791.07 and 5,431.50 is: 8,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.78 : 24,791.07 = 5,431.50 : x
  2. Step 2: Convert to fraction form
    16,524.78/24,791.07 = 5,431.50/x
  3. Step 3: Cross multiply
    16,524.78x = 24,791.07 × 5,431.50
  4. Step 4: Simplify right side
    16,524.78x = 134,652,696.71
  5. Step 5: Solve for x
    x = 134,652,696.71/16,524.78
  6. Step 6: Final answer
    x = 8,148.53

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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.