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Finding the Fourth Proportional to 20,633, 30,909.66 and 12,319.68

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Solution

The fourth proportional to 20,633, 30,909.66 and 12,319.68 is: 18,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633 : 30,909.66 = 12,319.68 : x
  2. Step 2: Convert to fraction form
    20,633/30,909.66 = 12,319.68/x
  3. Step 3: Cross multiply
    20,633x = 30,909.66 × 12,319.68
  4. Step 4: Simplify right side
    20,633x = 380,797,120.11
  5. Step 5: Solve for x
    x = 380,797,120.11/20,633
  6. Step 6: Final answer
    x = 18,455.73

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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.