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Finding the Fourth Proportional to 12,818.80, 19,229.38 and 4,055

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Solution

The fourth proportional to 12,818.80, 19,229.38 and 4,055 is: 6,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.80 : 19,229.38 = 4,055 : x
  2. Step 2: Convert to fraction form
    12,818.80/19,229.38 = 4,055/x
  3. Step 3: Cross multiply
    12,818.80x = 19,229.38 × 4,055
  4. Step 4: Simplify right side
    12,818.80x = 77,975,135.90
  5. Step 5: Solve for x
    x = 77,975,135.90/12,818.80
  6. Step 6: Final answer
    x = 6,082.87

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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.