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Finding the Fourth Proportional to 13,382.19, 20,074.32 and 4,021.47

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Solution

The fourth proportional to 13,382.19, 20,074.32 and 4,021.47 is: 6,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.19 : 20,074.32 = 4,021.47 : x
  2. Step 2: Convert to fraction form
    13,382.19/20,074.32 = 4,021.47/x
  3. Step 3: Cross multiply
    13,382.19x = 20,074.32 × 4,021.47
  4. Step 4: Simplify right side
    13,382.19x = 80,728,275.65
  5. Step 5: Solve for x
    x = 80,728,275.65/13,382.19
  6. Step 6: Final answer
    x = 6,032.52

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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.