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Finding the Fourth Proportional to 12,647.48, 18,971.01 and 3,882.20

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Solution

The fourth proportional to 12,647.48, 18,971.01 and 3,882.20 is: 5,823.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.48 : 18,971.01 = 3,882.20 : x
  2. Step 2: Convert to fraction form
    12,647.48/18,971.01 = 3,882.20/x
  3. Step 3: Cross multiply
    12,647.48x = 18,971.01 × 3,882.20
  4. Step 4: Simplify right side
    12,647.48x = 73,649,160.17
  5. Step 5: Solve for x
    x = 73,649,160.17/12,647.48
  6. Step 6: Final answer
    x = 5,823.23

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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.