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Finding the Fourth Proportional to 11,502.14, 17,277.78 and 8,236.22

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Solution

The fourth proportional to 11,502.14, 17,277.78 and 8,236.22 is: 12,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.14 : 17,277.78 = 8,236.22 : x
  2. Step 2: Convert to fraction form
    11,502.14/17,277.78 = 8,236.22/x
  3. Step 3: Cross multiply
    11,502.14x = 17,277.78 × 8,236.22
  4. Step 4: Simplify right side
    11,502.14x = 142,303,597.19
  5. Step 5: Solve for x
    x = 142,303,597.19/11,502.14
  6. Step 6: Final answer
    x = 12,371.92

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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.