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Finding the Fourth Proportional to 20,582.16, 30,873.23 and 5,791.07

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Solution

The fourth proportional to 20,582.16, 30,873.23 and 5,791.07 is: 8,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.16 : 30,873.23 = 5,791.07 : x
  2. Step 2: Convert to fraction form
    20,582.16/30,873.23 = 5,791.07/x
  3. Step 3: Cross multiply
    20,582.16x = 30,873.23 × 5,791.07
  4. Step 4: Simplify right side
    20,582.16x = 178,789,036.06
  5. Step 5: Solve for x
    x = 178,789,036.06/20,582.16
  6. Step 6: Final answer
    x = 8,686.60

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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.