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Finding the Fourth Proportional to 20,724.80, 31,081.54 and 5,728.32

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Solution

The fourth proportional to 20,724.80, 31,081.54 and 5,728.32 is: 8,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724.80 : 31,081.54 = 5,728.32 : x
  2. Step 2: Convert to fraction form
    20,724.80/31,081.54 = 5,728.32/x
  3. Step 3: Cross multiply
    20,724.80x = 31,081.54 × 5,728.32
  4. Step 4: Simplify right side
    20,724.80x = 178,045,007.21
  5. Step 5: Solve for x
    x = 178,045,007.21/20,724.80
  6. Step 6: Final answer
    x = 8,590.92

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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.