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Finding the Fourth Proportional to 16,172.80, 22,318.47 and 9,002.56

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Solution

The fourth proportional to 16,172.80, 22,318.47 and 9,002.56 is: 12,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.80 : 22,318.47 = 9,002.56 : x
  2. Step 2: Convert to fraction form
    16,172.80/22,318.47 = 9,002.56/x
  3. Step 3: Cross multiply
    16,172.80x = 22,318.47 × 9,002.56
  4. Step 4: Simplify right side
    16,172.80x = 200,923,423.20
  5. Step 5: Solve for x
    x = 200,923,423.20/16,172.80
  6. Step 6: Final answer
    x = 12,423.54

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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.