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Finding the Fourth Proportional to 18,222, 27,332.52 and 5,073.84

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Solution

The fourth proportional to 18,222, 27,332.52 and 5,073.84 is: 7,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222 : 27,332.52 = 5,073.84 : x
  2. Step 2: Convert to fraction form
    18,222/27,332.52 = 5,073.84/x
  3. Step 3: Cross multiply
    18,222x = 27,332.52 × 5,073.84
  4. Step 4: Simplify right side
    18,222x = 138,680,833.28
  5. Step 5: Solve for x
    x = 138,680,833.28/18,222
  6. Step 6: Final answer
    x = 7,610.63

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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.