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Finding the Fourth Proportional to 12,713.40, 19,082.36 and 6,144.20

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Solution

The fourth proportional to 12,713.40, 19,082.36 and 6,144.20 is: 9,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.40 : 19,082.36 = 6,144.20 : x
  2. Step 2: Convert to fraction form
    12,713.40/19,082.36 = 6,144.20/x
  3. Step 3: Cross multiply
    12,713.40x = 19,082.36 × 6,144.20
  4. Step 4: Simplify right side
    12,713.40x = 117,245,836.31
  5. Step 5: Solve for x
    x = 117,245,836.31/12,713.40
  6. Step 6: Final answer
    x = 9,222.23

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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.