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Finding the Fourth Proportional to 13,406.98, 20,113.36 and 4,523.20

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Solution

The fourth proportional to 13,406.98, 20,113.36 and 4,523.20 is: 6,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.98 : 20,113.36 = 4,523.20 : x
  2. Step 2: Convert to fraction form
    13,406.98/20,113.36 = 4,523.20/x
  3. Step 3: Cross multiply
    13,406.98x = 20,113.36 × 4,523.20
  4. Step 4: Simplify right side
    13,406.98x = 90,976,749.95
  5. Step 5: Solve for x
    x = 90,976,749.95/13,406.98
  6. Step 6: Final answer
    x = 6,785.78

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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.