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Finding the Fourth Proportional to 12,371.76, 18,561.71 and 8,228.07

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Solution

The fourth proportional to 12,371.76, 18,561.71 and 8,228.07 is: 12,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.76 : 18,561.71 = 8,228.07 : x
  2. Step 2: Convert to fraction form
    12,371.76/18,561.71 = 8,228.07/x
  3. Step 3: Cross multiply
    12,371.76x = 18,561.71 × 8,228.07
  4. Step 4: Simplify right side
    12,371.76x = 152,726,969.31
  5. Step 5: Solve for x
    x = 152,726,969.31/12,371.76
  6. Step 6: Final answer
    x = 12,344.81

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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.