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Finding the Fourth Proportional to 27,382.88, 37,786.10 and 15,449.14

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Solution

The fourth proportional to 27,382.88, 37,786.10 and 15,449.14 is: 21,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.88 : 37,786.10 = 15,449.14 : x
  2. Step 2: Convert to fraction form
    27,382.88/37,786.10 = 15,449.14/x
  3. Step 3: Cross multiply
    27,382.88x = 37,786.10 × 15,449.14
  4. Step 4: Simplify right side
    27,382.88x = 583,762,748.95
  5. Step 5: Solve for x
    x = 583,762,748.95/27,382.88
  6. Step 6: Final answer
    x = 21,318.53

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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.