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Finding the Fourth Proportional to 16,253.91, 24,381.78 and 5,161.50

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Solution

The fourth proportional to 16,253.91, 24,381.78 and 5,161.50 is: 7,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.91 : 24,381.78 = 5,161.50 : x
  2. Step 2: Convert to fraction form
    16,253.91/24,381.78 = 5,161.50/x
  3. Step 3: Cross multiply
    16,253.91x = 24,381.78 × 5,161.50
  4. Step 4: Simplify right side
    16,253.91x = 125,846,557.47
  5. Step 5: Solve for x
    x = 125,846,557.47/16,253.91
  6. Step 6: Final answer
    x = 7,742.54

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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.