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Finding the Fourth Proportional to 27,868.12, 38,476.03 and 17,269

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Solution

The fourth proportional to 27,868.12, 38,476.03 and 17,269 is: 23,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868.12 : 38,476.03 = 17,269 : x
  2. Step 2: Convert to fraction form
    27,868.12/38,476.03 = 17,269/x
  3. Step 3: Cross multiply
    27,868.12x = 38,476.03 × 17,269
  4. Step 4: Simplify right side
    27,868.12x = 664,442,562.07
  5. Step 5: Solve for x
    x = 664,442,562.07/27,868.12
  6. Step 6: Final answer
    x = 23,842.39

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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.