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Finding the Fourth Proportional to 22,291.92, 33,441.12 and 11,898

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Solution

The fourth proportional to 22,291.92, 33,441.12 and 11,898 is: 17,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,291.92 : 33,441.12 = 11,898 : x
  2. Step 2: Convert to fraction form
    22,291.92/33,441.12 = 11,898/x
  3. Step 3: Cross multiply
    22,291.92x = 33,441.12 × 11,898
  4. Step 4: Simplify right side
    22,291.92x = 397,882,445.76
  5. Step 5: Solve for x
    x = 397,882,445.76/22,291.92
  6. Step 6: Final answer
    x = 17,848.73

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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.