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Finding the Fourth Proportional to 13,464.18, 20,195.73 and 5,148.18

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Solution

The fourth proportional to 13,464.18, 20,195.73 and 5,148.18 is: 7,722.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.18 : 20,195.73 = 5,148.18 : x
  2. Step 2: Convert to fraction form
    13,464.18/20,195.73 = 5,148.18/x
  3. Step 3: Cross multiply
    13,464.18x = 20,195.73 × 5,148.18
  4. Step 4: Simplify right side
    13,464.18x = 103,971,253.27
  5. Step 5: Solve for x
    x = 103,971,253.27/13,464.18
  6. Step 6: Final answer
    x = 7,722.06

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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.