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Finding the Fourth Proportional to 13,238.56, 19,857.14 and 3,377.24

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Solution

The fourth proportional to 13,238.56, 19,857.14 and 3,377.24 is: 5,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.56 : 19,857.14 = 3,377.24 : x
  2. Step 2: Convert to fraction form
    13,238.56/19,857.14 = 3,377.24/x
  3. Step 3: Cross multiply
    13,238.56x = 19,857.14 × 3,377.24
  4. Step 4: Simplify right side
    13,238.56x = 67,062,327.49
  5. Step 5: Solve for x
    x = 67,062,327.49/13,238.56
  6. Step 6: Final answer
    x = 5,065.68

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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.