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Finding the Fourth Proportional to 27,735.68, 41,610.88 and 8,013.92

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Solution

The fourth proportional to 27,735.68, 41,610.88 and 8,013.92 is: 12,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.68 : 41,610.88 = 8,013.92 : x
  2. Step 2: Convert to fraction form
    27,735.68/41,610.88 = 8,013.92/x
  3. Step 3: Cross multiply
    27,735.68x = 41,610.88 × 8,013.92
  4. Step 4: Simplify right side
    27,735.68x = 333,466,263.45
  5. Step 5: Solve for x
    x = 333,466,263.45/27,735.68
  6. Step 6: Final answer
    x = 12,023.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.