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Finding the Fourth Proportional to 16,171.92, 22,330.04 and 13,219.47

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Solution

The fourth proportional to 16,171.92, 22,330.04 and 13,219.47 is: 18,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.92 : 22,330.04 = 13,219.47 : x
  2. Step 2: Convert to fraction form
    16,171.92/22,330.04 = 13,219.47/x
  3. Step 3: Cross multiply
    16,171.92x = 22,330.04 × 13,219.47
  4. Step 4: Simplify right side
    16,171.92x = 295,191,227.78
  5. Step 5: Solve for x
    x = 295,191,227.78/16,171.92
  6. Step 6: Final answer
    x = 18,253.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.