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Finding the Fourth Proportional to 22,718.81, 34,083.75 and 7,136.44

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Solution

The fourth proportional to 22,718.81, 34,083.75 and 7,136.44 is: 10,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.81 : 34,083.75 = 7,136.44 : x
  2. Step 2: Convert to fraction form
    22,718.81/34,083.75 = 7,136.44/x
  3. Step 3: Cross multiply
    22,718.81x = 34,083.75 × 7,136.44
  4. Step 4: Simplify right side
    22,718.81x = 243,236,578.40
  5. Step 5: Solve for x
    x = 243,236,578.40/22,718.81
  6. Step 6: Final answer
    x = 10,706.39

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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.