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Finding the Fourth Proportional to 12,647.36, 18,970.35 and 3,882.27

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Solution

The fourth proportional to 12,647.36, 18,970.35 and 3,882.27 is: 5,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.36 : 18,970.35 = 3,882.27 : x
  2. Step 2: Convert to fraction form
    12,647.36/18,970.35 = 3,882.27/x
  3. Step 3: Cross multiply
    12,647.36x = 18,970.35 × 3,882.27
  4. Step 4: Simplify right side
    12,647.36x = 73,648,077.27
  5. Step 5: Solve for x
    x = 73,648,077.27/12,647.36
  6. Step 6: Final answer
    x = 5,823.20

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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.