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Finding the Fourth Proportional to 22,709.19, 34,064.96 and 6,912.97

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Solution

The fourth proportional to 22,709.19, 34,064.96 and 6,912.97 is: 10,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.19 : 34,064.96 = 6,912.97 : x
  2. Step 2: Convert to fraction form
    22,709.19/34,064.96 = 6,912.97/x
  3. Step 3: Cross multiply
    22,709.19x = 34,064.96 × 6,912.97
  4. Step 4: Simplify right side
    22,709.19x = 235,490,097.13
  5. Step 5: Solve for x
    x = 235,490,097.13/22,709.19
  6. Step 6: Final answer
    x = 10,369.82

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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.