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Finding the Fourth Proportional to 22,696.94, 34,045.38 and 7,115.78

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Solution

The fourth proportional to 22,696.94, 34,045.38 and 7,115.78 is: 10,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.94 : 34,045.38 = 7,115.78 : x
  2. Step 2: Convert to fraction form
    22,696.94/34,045.38 = 7,115.78/x
  3. Step 3: Cross multiply
    22,696.94x = 34,045.38 × 7,115.78
  4. Step 4: Simplify right side
    22,696.94x = 242,259,434.10
  5. Step 5: Solve for x
    x = 242,259,434.10/22,696.94
  6. Step 6: Final answer
    x = 10,673.66

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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.