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Finding the Fourth Proportional to 13,632.25, 20,448.40 and 4,144.65

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Solution

The fourth proportional to 13,632.25, 20,448.40 and 4,144.65 is: 6,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.25 : 20,448.40 = 4,144.65 : x
  2. Step 2: Convert to fraction form
    13,632.25/20,448.40 = 4,144.65/x
  3. Step 3: Cross multiply
    13,632.25x = 20,448.40 × 4,144.65
  4. Step 4: Simplify right side
    13,632.25x = 84,751,422.20
  5. Step 5: Solve for x
    x = 84,751,422.20/13,632.25
  6. Step 6: Final answer
    x = 6,216.98

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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.