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Finding the Fourth Proportional to 27,205.50, 37,543.73 and 15,882.78

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Solution

The fourth proportional to 27,205.50, 37,543.73 and 15,882.78 is: 21,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.50 : 37,543.73 = 15,882.78 : x
  2. Step 2: Convert to fraction form
    27,205.50/37,543.73 = 15,882.78/x
  3. Step 3: Cross multiply
    27,205.50x = 37,543.73 × 15,882.78
  4. Step 4: Simplify right side
    27,205.50x = 596,298,724.56
  5. Step 5: Solve for x
    x = 596,298,724.56/27,205.50
  6. Step 6: Final answer
    x = 21,918.32

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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.