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Finding the Fourth Proportional to 20,588.82, 30,874.12 and 7,441.32

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Solution

The fourth proportional to 20,588.82, 30,874.12 and 7,441.32 is: 11,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.82 : 30,874.12 = 7,441.32 : x
  2. Step 2: Convert to fraction form
    20,588.82/30,874.12 = 7,441.32/x
  3. Step 3: Cross multiply
    20,588.82x = 30,874.12 × 7,441.32
  4. Step 4: Simplify right side
    20,588.82x = 229,744,206.64
  5. Step 5: Solve for x
    x = 229,744,206.64/20,588.82
  6. Step 6: Final answer
    x = 11,158.69

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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.