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Finding the Fourth Proportional to 22,805.28, 34,182 and 9,649.44

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Solution

The fourth proportional to 22,805.28, 34,182 and 9,649.44 is: 14,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,805.28 : 34,182 = 9,649.44 : x
  2. Step 2: Convert to fraction form
    22,805.28/34,182 = 9,649.44/x
  3. Step 3: Cross multiply
    22,805.28x = 34,182 × 9,649.44
  4. Step 4: Simplify right side
    22,805.28x = 329,837,158.08
  5. Step 5: Solve for x
    x = 329,837,158.08/22,805.28
  6. Step 6: Final answer
    x = 14,463.19

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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.