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Finding the Fourth Proportional to 14,920.92, 22,366.78 and 6,163.20

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Solution

The fourth proportional to 14,920.92, 22,366.78 and 6,163.20 is: 9,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.92 : 22,366.78 = 6,163.20 : x
  2. Step 2: Convert to fraction form
    14,920.92/22,366.78 = 6,163.20/x
  3. Step 3: Cross multiply
    14,920.92x = 22,366.78 × 6,163.20
  4. Step 4: Simplify right side
    14,920.92x = 137,850,938.50
  5. Step 5: Solve for x
    x = 137,850,938.50/14,920.92
  6. Step 6: Final answer
    x = 9,238.77

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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.