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Finding the Fourth Proportional to 27,223.92, 40,841.04 and 9,453.90

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Solution

The fourth proportional to 27,223.92, 40,841.04 and 9,453.90 is: 14,182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.92 : 40,841.04 = 9,453.90 : x
  2. Step 2: Convert to fraction form
    27,223.92/40,841.04 = 9,453.90/x
  3. Step 3: Cross multiply
    27,223.92x = 40,841.04 × 9,453.90
  4. Step 4: Simplify right side
    27,223.92x = 386,107,108.06
  5. Step 5: Solve for x
    x = 386,107,108.06/27,223.92
  6. Step 6: Final answer
    x = 14,182.64

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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.