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Finding the Fourth Proportional to 22,742.50, 34,113.50 and 8,891.38

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Solution

The fourth proportional to 22,742.50, 34,113.50 and 8,891.38 is: 13,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,742.50 : 34,113.50 = 8,891.38 : x
  2. Step 2: Convert to fraction form
    22,742.50/34,113.50 = 8,891.38/x
  3. Step 3: Cross multiply
    22,742.50x = 34,113.50 × 8,891.38
  4. Step 4: Simplify right side
    22,742.50x = 303,316,091.63
  5. Step 5: Solve for x
    x = 303,316,091.63/22,742.50
  6. Step 6: Final answer
    x = 13,336.97

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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.