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Finding the Fourth Proportional to 13,243.20, 19,816.20 and 8,869.20

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Solution

The fourth proportional to 13,243.20, 19,816.20 and 8,869.20 is: 13,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.20 : 19,816.20 = 8,869.20 : x
  2. Step 2: Convert to fraction form
    13,243.20/19,816.20 = 8,869.20/x
  3. Step 3: Cross multiply
    13,243.20x = 19,816.20 × 8,869.20
  4. Step 4: Simplify right side
    13,243.20x = 175,753,841.04
  5. Step 5: Solve for x
    x = 175,753,841.04/13,243.20
  6. Step 6: Final answer
    x = 13,271.25

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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.