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Finding the Fourth Proportional to 13,378.86, 20,069.91 and 6,448.50

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Solution

The fourth proportional to 13,378.86, 20,069.91 and 6,448.50 is: 9,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.86 : 20,069.91 = 6,448.50 : x
  2. Step 2: Convert to fraction form
    13,378.86/20,069.91 = 6,448.50/x
  3. Step 3: Cross multiply
    13,378.86x = 20,069.91 × 6,448.50
  4. Step 4: Simplify right side
    13,378.86x = 129,420,814.64
  5. Step 5: Solve for x
    x = 129,420,814.64/13,378.86
  6. Step 6: Final answer
    x = 9,673.53

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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.