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Finding the Fourth Proportional to 13,236.74, 19,824.62 and 7,960.17

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Solution

The fourth proportional to 13,236.74, 19,824.62 and 7,960.17 is: 11,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,236.74 : 19,824.62 = 7,960.17 : x
  2. Step 2: Convert to fraction form
    13,236.74/19,824.62 = 7,960.17/x
  3. Step 3: Cross multiply
    13,236.74x = 19,824.62 × 7,960.17
  4. Step 4: Simplify right side
    13,236.74x = 157,807,305.58
  5. Step 5: Solve for x
    x = 157,807,305.58/13,236.74
  6. Step 6: Final answer
    x = 11,921.92

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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.