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Finding the Fourth Proportional to 16,141.68, 24,212.52 and 5,751

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Solution

The fourth proportional to 16,141.68, 24,212.52 and 5,751 is: 8,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.68 : 24,212.52 = 5,751 : x
  2. Step 2: Convert to fraction form
    16,141.68/24,212.52 = 5,751/x
  3. Step 3: Cross multiply
    16,141.68x = 24,212.52 × 5,751
  4. Step 4: Simplify right side
    16,141.68x = 139,246,202.52
  5. Step 5: Solve for x
    x = 139,246,202.52/16,141.68
  6. Step 6: Final answer
    x = 8,626.50

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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.