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Finding the Fourth Proportional to 13,378.64, 20,059.73 and 6,349.13

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Solution

The fourth proportional to 13,378.64, 20,059.73 and 6,349.13 is: 9,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.64 : 20,059.73 = 6,349.13 : x
  2. Step 2: Convert to fraction form
    13,378.64/20,059.73 = 6,349.13/x
  3. Step 3: Cross multiply
    13,378.64x = 20,059.73 × 6,349.13
  4. Step 4: Simplify right side
    13,378.64x = 127,361,701.49
  5. Step 5: Solve for x
    x = 127,361,701.49/13,378.64
  6. Step 6: Final answer
    x = 9,519.78

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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.