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Finding the Fourth Proportional to 22,694.91, 34,042.38 and 7,113.75

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Solution

The fourth proportional to 22,694.91, 34,042.38 and 7,113.75 is: 10,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,694.91 : 34,042.38 = 7,113.75 : x
  2. Step 2: Convert to fraction form
    22,694.91/34,042.38 = 7,113.75/x
  3. Step 3: Cross multiply
    22,694.91x = 34,042.38 × 7,113.75
  4. Step 4: Simplify right side
    22,694.91x = 242,168,980.73
  5. Step 5: Solve for x
    x = 242,168,980.73/22,694.91
  6. Step 6: Final answer
    x = 10,670.63

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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.