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Finding the Fourth Proportional to 22,830, 34,219.26 and 17,265.30

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Solution

The fourth proportional to 22,830, 34,219.26 and 17,265.30 is: 25,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830 : 34,219.26 = 17,265.30 : x
  2. Step 2: Convert to fraction form
    22,830/34,219.26 = 17,265.30/x
  3. Step 3: Cross multiply
    22,830x = 34,219.26 × 17,265.30
  4. Step 4: Simplify right side
    22,830x = 590,805,789.68
  5. Step 5: Solve for x
    x = 590,805,789.68/22,830
  6. Step 6: Final answer
    x = 25,878.48

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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.