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Finding the Fourth Proportional to 22,711.70, 34,072.41 and 9,570.26

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Solution

The fourth proportional to 22,711.70, 34,072.41 and 9,570.26 is: 14,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.70 : 34,072.41 = 9,570.26 : x
  2. Step 2: Convert to fraction form
    22,711.70/34,072.41 = 9,570.26/x
  3. Step 3: Cross multiply
    22,711.70x = 34,072.41 × 9,570.26
  4. Step 4: Simplify right side
    22,711.70x = 326,081,822.53
  5. Step 5: Solve for x
    x = 326,081,822.53/22,711.70
  6. Step 6: Final answer
    x = 14,357.44

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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.