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Finding the Fourth Proportional to 22,213.62, 30,652.68 and 12,141.42

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Solution

The fourth proportional to 22,213.62, 30,652.68 and 12,141.42 is: 16,754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.62 : 30,652.68 = 12,141.42 : x
  2. Step 2: Convert to fraction form
    22,213.62/30,652.68 = 12,141.42/x
  3. Step 3: Cross multiply
    22,213.62x = 30,652.68 × 12,141.42
  4. Step 4: Simplify right side
    22,213.62x = 372,167,062.01
  5. Step 5: Solve for x
    x = 372,167,062.01/22,213.62
  6. Step 6: Final answer
    x = 16,754.00

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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.