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Finding the Fourth Proportional to 20,458.80, 28,232.37 and 11,506.80

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Solution

The fourth proportional to 20,458.80, 28,232.37 and 11,506.80 is: 15,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.80 : 28,232.37 = 11,506.80 : x
  2. Step 2: Convert to fraction form
    20,458.80/28,232.37 = 11,506.80/x
  3. Step 3: Cross multiply
    20,458.80x = 28,232.37 × 11,506.80
  4. Step 4: Simplify right side
    20,458.80x = 324,864,235.12
  5. Step 5: Solve for x
    x = 324,864,235.12/20,458.80
  6. Step 6: Final answer
    x = 15,878.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.