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Finding the Fourth Proportional to 23,097.81, 34,560.20 and 16,449.67

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Solution

The fourth proportional to 23,097.81, 34,560.20 and 16,449.67 is: 24,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.81 : 34,560.20 = 16,449.67 : x
  2. Step 2: Convert to fraction form
    23,097.81/34,560.20 = 16,449.67/x
  3. Step 3: Cross multiply
    23,097.81x = 34,560.20 × 16,449.67
  4. Step 4: Simplify right side
    23,097.81x = 568,503,775.06
  5. Step 5: Solve for x
    x = 568,503,775.06/23,097.81
  6. Step 6: Final answer
    x = 24,612.89

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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.