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Finding the Fourth Proportional to 22,219.65, 30,642.79 and 17,375

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Solution

The fourth proportional to 22,219.65, 30,642.79 and 17,375 is: 23,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,219.65 : 30,642.79 = 17,375 : x
  2. Step 2: Convert to fraction form
    22,219.65/30,642.79 = 17,375/x
  3. Step 3: Cross multiply
    22,219.65x = 30,642.79 × 17,375
  4. Step 4: Simplify right side
    22,219.65x = 532,418,389.38
  5. Step 5: Solve for x
    x = 532,418,389.38/22,219.65
  6. Step 6: Final answer
    x = 23,961.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.