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Finding the Fourth Proportional to 12,713.96, 19,019.06 and 10,251.56

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Solution

The fourth proportional to 12,713.96, 19,019.06 and 10,251.56 is: 15,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.96 : 19,019.06 = 10,251.56 : x
  2. Step 2: Convert to fraction form
    12,713.96/19,019.06 = 10,251.56/x
  3. Step 3: Cross multiply
    12,713.96x = 19,019.06 × 10,251.56
  4. Step 4: Simplify right side
    12,713.96x = 194,975,034.73
  5. Step 5: Solve for x
    x = 194,975,034.73/12,713.96
  6. Step 6: Final answer
    x = 15,335.51

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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.