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Finding the Fourth Proportional to 22,206.49, 30,658.31 and 13,834.33

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Solution

The fourth proportional to 22,206.49, 30,658.31 and 13,834.33 is: 19,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.49 : 30,658.31 = 13,834.33 : x
  2. Step 2: Convert to fraction form
    22,206.49/30,658.31 = 13,834.33/x
  3. Step 3: Cross multiply
    22,206.49x = 30,658.31 × 13,834.33
  4. Step 4: Simplify right side
    22,206.49x = 424,137,108.61
  5. Step 5: Solve for x
    x = 424,137,108.61/22,206.49
  6. Step 6: Final answer
    x = 19,099.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.