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Finding the Fourth Proportional to 22,330.98, 30,819.96 and 13,378.86

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Solution

The fourth proportional to 22,330.98, 30,819.96 and 13,378.86 is: 18,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,330.98 : 30,819.96 = 13,378.86 : x
  2. Step 2: Convert to fraction form
    22,330.98/30,819.96 = 13,378.86/x
  3. Step 3: Cross multiply
    22,330.98x = 30,819.96 × 13,378.86
  4. Step 4: Simplify right side
    22,330.98x = 412,335,930.05
  5. Step 5: Solve for x
    x = 412,335,930.05/22,330.98
  6. Step 6: Final answer
    x = 18,464.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.