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Finding the Fourth Proportional to 13,124.56, 19,691.76 and 7,863.25

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Solution

The fourth proportional to 13,124.56, 19,691.76 and 7,863.25 is: 11,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124.56 : 19,691.76 = 7,863.25 : x
  2. Step 2: Convert to fraction form
    13,124.56/19,691.76 = 7,863.25/x
  3. Step 3: Cross multiply
    13,124.56x = 19,691.76 × 7,863.25
  4. Step 4: Simplify right side
    13,124.56x = 154,841,231.82
  5. Step 5: Solve for x
    x = 154,841,231.82/13,124.56
  6. Step 6: Final answer
    x = 11,797.82

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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.