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Finding the Fourth Proportional to 27,712.75, 38,243.81 and 15,137.50

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Solution

The fourth proportional to 27,712.75, 38,243.81 and 15,137.50 is: 20,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,712.75 : 38,243.81 = 15,137.50 : x
  2. Step 2: Convert to fraction form
    27,712.75/38,243.81 = 15,137.50/x
  3. Step 3: Cross multiply
    27,712.75x = 38,243.81 × 15,137.50
  4. Step 4: Simplify right side
    27,712.75x = 578,915,673.88
  5. Step 5: Solve for x
    x = 578,915,673.88/27,712.75
  6. Step 6: Final answer
    x = 20,889.87

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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.