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Finding the Fourth Proportional to 16,211.34, 22,373.01 and 9,138.42

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Solution

The fourth proportional to 16,211.34, 22,373.01 and 9,138.42 is: 12,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.34 : 22,373.01 = 9,138.42 : x
  2. Step 2: Convert to fraction form
    16,211.34/22,373.01 = 9,138.42/x
  3. Step 3: Cross multiply
    16,211.34x = 22,373.01 × 9,138.42
  4. Step 4: Simplify right side
    16,211.34x = 204,453,962.04
  5. Step 5: Solve for x
    x = 204,453,962.04/16,211.34
  6. Step 6: Final answer
    x = 12,611.79

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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.