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Finding the Fourth Proportional to 27,841.98, 38,418.27 and 15,744.12

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Solution

The fourth proportional to 27,841.98, 38,418.27 and 15,744.12 is: 21,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.98 : 38,418.27 = 15,744.12 : x
  2. Step 2: Convert to fraction form
    27,841.98/38,418.27 = 15,744.12/x
  3. Step 3: Cross multiply
    27,841.98x = 38,418.27 × 15,744.12
  4. Step 4: Simplify right side
    27,841.98x = 604,861,866.07
  5. Step 5: Solve for x
    x = 604,861,866.07/27,841.98
  6. Step 6: Final answer
    x = 21,724.82

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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.