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Finding the Fourth Proportional to 16,212.47, 22,373.12 and 9,138.80

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Solution

The fourth proportional to 16,212.47, 22,373.12 and 9,138.80 is: 12,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.47 : 22,373.12 = 9,138.80 : x
  2. Step 2: Convert to fraction form
    16,212.47/22,373.12 = 9,138.80/x
  3. Step 3: Cross multiply
    16,212.47x = 22,373.12 × 9,138.80
  4. Step 4: Simplify right side
    16,212.47x = 204,463,311.50
  5. Step 5: Solve for x
    x = 204,463,311.50/16,212.47
  6. Step 6: Final answer
    x = 12,611.49

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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.