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Finding the Fourth Proportional to 21,086.22, 31,632.57 and 7,041.90

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Solution

The fourth proportional to 21,086.22, 31,632.57 and 7,041.90 is: 10,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,086.22 : 31,632.57 = 7,041.90 : x
  2. Step 2: Convert to fraction form
    21,086.22/31,632.57 = 7,041.90/x
  3. Step 3: Cross multiply
    21,086.22x = 31,632.57 × 7,041.90
  4. Step 4: Simplify right side
    21,086.22x = 222,753,394.68
  5. Step 5: Solve for x
    x = 222,753,394.68/21,086.22
  6. Step 6: Final answer
    x = 10,563.93

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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.