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Finding the Fourth Proportional to 22,344.24, 33,519.92 and 7,554

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Solution

The fourth proportional to 22,344.24, 33,519.92 and 7,554 is: 11,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.24 : 33,519.92 = 7,554 : x
  2. Step 2: Convert to fraction form
    22,344.24/33,519.92 = 7,554/x
  3. Step 3: Cross multiply
    22,344.24x = 33,519.92 × 7,554
  4. Step 4: Simplify right side
    22,344.24x = 253,209,475.68
  5. Step 5: Solve for x
    x = 253,209,475.68/22,344.24
  6. Step 6: Final answer
    x = 11,332.20

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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.