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Finding the Fourth Proportional to 27,902.68, 41,818.44 and 13,078.90

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Solution

The fourth proportional to 27,902.68, 41,818.44 and 13,078.90 is: 19,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.68 : 41,818.44 = 13,078.90 : x
  2. Step 2: Convert to fraction form
    27,902.68/41,818.44 = 13,078.90/x
  3. Step 3: Cross multiply
    27,902.68x = 41,818.44 × 13,078.90
  4. Step 4: Simplify right side
    27,902.68x = 546,939,194.92
  5. Step 5: Solve for x
    x = 546,939,194.92/27,902.68
  6. Step 6: Final answer
    x = 19,601.67

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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.