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Finding the Fourth Proportional to 27,711.40, 38,244 and 15,778.48

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Solution

The fourth proportional to 27,711.40, 38,244 and 15,778.48 is: 21,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,711.40 : 38,244 = 15,778.48 : x
  2. Step 2: Convert to fraction form
    27,711.40/38,244 = 15,778.48/x
  3. Step 3: Cross multiply
    27,711.40x = 38,244 × 15,778.48
  4. Step 4: Simplify right side
    27,711.40x = 603,432,189.12
  5. Step 5: Solve for x
    x = 603,432,189.12/27,711.40
  6. Step 6: Final answer
    x = 21,775.59

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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.