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Finding the Fourth Proportional to 22,287.92, 33,435.10 and 11,894

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Solution

The fourth proportional to 22,287.92, 33,435.10 and 11,894 is: 17,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.92 : 33,435.10 = 11,894 : x
  2. Step 2: Convert to fraction form
    22,287.92/33,435.10 = 11,894/x
  3. Step 3: Cross multiply
    22,287.92x = 33,435.10 × 11,894
  4. Step 4: Simplify right side
    22,287.92x = 397,677,079.40
  5. Step 5: Solve for x
    x = 397,677,079.40/22,287.92
  6. Step 6: Final answer
    x = 17,842.72

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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.