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Finding the Fourth Proportional to 12,715.96, 19,022.06 and 10,253.56

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Solution

The fourth proportional to 12,715.96, 19,022.06 and 10,253.56 is: 15,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.96 : 19,022.06 = 10,253.56 : x
  2. Step 2: Convert to fraction form
    12,715.96/19,022.06 = 10,253.56/x
  3. Step 3: Cross multiply
    12,715.96x = 19,022.06 × 10,253.56
  4. Step 4: Simplify right side
    12,715.96x = 195,043,833.53
  5. Step 5: Solve for x
    x = 195,043,833.53/12,715.96
  6. Step 6: Final answer
    x = 15,338.51

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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.