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Finding the Fourth Proportional to 16,213.66, 22,372.95 and 9,139.66

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Solution

The fourth proportional to 16,213.66, 22,372.95 and 9,139.66 is: 12,611.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.66 : 22,372.95 = 9,139.66 : x
  2. Step 2: Convert to fraction form
    16,213.66/22,372.95 = 9,139.66/x
  3. Step 3: Cross multiply
    16,213.66x = 22,372.95 × 9,139.66
  4. Step 4: Simplify right side
    16,213.66x = 204,481,156.20
  5. Step 5: Solve for x
    x = 204,481,156.20/16,213.66
  6. Step 6: Final answer
    x = 12,611.66

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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.