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Finding the Fourth Proportional to 27,876.78, 38,476.82 and 17,124.26

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Solution

The fourth proportional to 27,876.78, 38,476.82 and 17,124.26 is: 23,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.78 : 38,476.82 = 17,124.26 : x
  2. Step 2: Convert to fraction form
    27,876.78/38,476.82 = 17,124.26/x
  3. Step 3: Cross multiply
    27,876.78x = 38,476.82 × 17,124.26
  4. Step 4: Simplify right side
    27,876.78x = 658,886,920.08
  5. Step 5: Solve for x
    x = 658,886,920.08/27,876.78
  6. Step 6: Final answer
    x = 23,635.69

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