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Finding the Fourth Proportional to 22,984.24, 34,481.76 and 7,401.28

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Solution

The fourth proportional to 22,984.24, 34,481.76 and 7,401.28 is: 11,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.24 : 34,481.76 = 7,401.28 : x
  2. Step 2: Convert to fraction form
    22,984.24/34,481.76 = 7,401.28/x
  3. Step 3: Cross multiply
    22,984.24x = 34,481.76 × 7,401.28
  4. Step 4: Simplify right side
    22,984.24x = 255,209,160.65
  5. Step 5: Solve for x
    x = 255,209,160.65/22,984.24
  6. Step 6: Final answer
    x = 11,103.66

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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.