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Finding the Fourth Proportional to 13,878.11, 20,818.49 and 3,882.86

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Solution

The fourth proportional to 13,878.11, 20,818.49 and 3,882.86 is: 5,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.11 : 20,818.49 = 3,882.86 : x
  2. Step 2: Convert to fraction form
    13,878.11/20,818.49 = 3,882.86/x
  3. Step 3: Cross multiply
    13,878.11x = 20,818.49 × 3,882.86
  4. Step 4: Simplify right side
    13,878.11x = 80,835,303.39
  5. Step 5: Solve for x
    x = 80,835,303.39/13,878.11
  6. Step 6: Final answer
    x = 5,824.66

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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.