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Finding the Fourth Proportional to 22,196.41, 33,294.90 and 12,398.06

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Solution

The fourth proportional to 22,196.41, 33,294.90 and 12,398.06 is: 18,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.41 : 33,294.90 = 12,398.06 : x
  2. Step 2: Convert to fraction form
    22,196.41/33,294.90 = 12,398.06/x
  3. Step 3: Cross multiply
    22,196.41x = 33,294.90 × 12,398.06
  4. Step 4: Simplify right side
    22,196.41x = 412,792,167.89
  5. Step 5: Solve for x
    x = 412,792,167.89/22,196.41
  6. Step 6: Final answer
    x = 18,597.25

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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.