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Finding the Fourth Proportional to 20,581.96, 30,866.58 and 7,432.66

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Solution

The fourth proportional to 20,581.96, 30,866.58 and 7,432.66 is: 11,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,581.96 : 30,866.58 = 7,432.66 : x
  2. Step 2: Convert to fraction form
    20,581.96/30,866.58 = 7,432.66/x
  3. Step 3: Cross multiply
    20,581.96x = 30,866.58 × 7,432.66
  4. Step 4: Simplify right side
    20,581.96x = 229,420,794.50
  5. Step 5: Solve for x
    x = 229,420,794.50/20,581.96
  6. Step 6: Final answer
    x = 11,146.69

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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.