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Finding the Fourth Proportional to 13,452.67, 20,184.81 and 5,135.19

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Solution

The fourth proportional to 13,452.67, 20,184.81 and 5,135.19 is: 7,705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.67 : 20,184.81 = 5,135.19 : x
  2. Step 2: Convert to fraction form
    13,452.67/20,184.81 = 5,135.19/x
  3. Step 3: Cross multiply
    13,452.67x = 20,184.81 × 5,135.19
  4. Step 4: Simplify right side
    13,452.67x = 103,652,834.46
  5. Step 5: Solve for x
    x = 103,652,834.46/13,452.67
  6. Step 6: Final answer
    x = 7,705.00

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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.