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Finding the Fourth Proportional to 12,371.22, 18,641.70 and 10,227.96

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Solution

The fourth proportional to 12,371.22, 18,641.70 and 10,227.96 is: 15,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.22 : 18,641.70 = 10,227.96 : x
  2. Step 2: Convert to fraction form
    12,371.22/18,641.70 = 10,227.96/x
  3. Step 3: Cross multiply
    12,371.22x = 18,641.70 × 10,227.96
  4. Step 4: Simplify right side
    12,371.22x = 190,666,561.93
  5. Step 5: Solve for x
    x = 190,666,561.93/12,371.22
  6. Step 6: Final answer
    x = 15,412.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.