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Finding the Fourth Proportional to 13,544.52, 20,314.29 and 6,147.20

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Solution

The fourth proportional to 13,544.52, 20,314.29 and 6,147.20 is: 9,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.52 : 20,314.29 = 6,147.20 : x
  2. Step 2: Convert to fraction form
    13,544.52/20,314.29 = 6,147.20/x
  3. Step 3: Cross multiply
    13,544.52x = 20,314.29 × 6,147.20
  4. Step 4: Simplify right side
    13,544.52x = 124,876,003.49
  5. Step 5: Solve for x
    x = 124,876,003.49/13,544.52
  6. Step 6: Final answer
    x = 9,219.67

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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.