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Finding the Fourth Proportional to 22,123.72, 33,185.80 and 8,083.62

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Solution

The fourth proportional to 22,123.72, 33,185.80 and 8,083.62 is: 12,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.72 : 33,185.80 = 8,083.62 : x
  2. Step 2: Convert to fraction form
    22,123.72/33,185.80 = 8,083.62/x
  3. Step 3: Cross multiply
    22,123.72x = 33,185.80 × 8,083.62
  4. Step 4: Simplify right side
    22,123.72x = 268,261,406.70
  5. Step 5: Solve for x
    x = 268,261,406.70/22,123.72
  6. Step 6: Final answer
    x = 12,125.51

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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.