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Finding the Fourth Proportional to 20,382.66, 30,578.58 and 7,235.04

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Solution

The fourth proportional to 20,382.66, 30,578.58 and 7,235.04 is: 10,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.66 : 30,578.58 = 7,235.04 : x
  2. Step 2: Convert to fraction form
    20,382.66/30,578.58 = 7,235.04/x
  3. Step 3: Cross multiply
    20,382.66x = 30,578.58 × 7,235.04
  4. Step 4: Simplify right side
    20,382.66x = 221,237,249.44
  5. Step 5: Solve for x
    x = 221,237,249.44/20,382.66
  6. Step 6: Final answer
    x = 10,854.19

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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.