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Finding the Fourth Proportional to 22,302.57, 30,777.98 and 12,230.41

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Solution

The fourth proportional to 22,302.57, 30,777.98 and 12,230.41 is: 16,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.57 : 30,777.98 = 12,230.41 : x
  2. Step 2: Convert to fraction form
    22,302.57/30,777.98 = 12,230.41/x
  3. Step 3: Cross multiply
    22,302.57x = 30,777.98 × 12,230.41
  4. Step 4: Simplify right side
    22,302.57x = 376,427,233.98
  5. Step 5: Solve for x
    x = 376,427,233.98/22,302.57
  6. Step 6: Final answer
    x = 16,878.20

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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.