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Finding the Fourth Proportional to 22,282.72, 33,431 and 9,136.12

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Solution

The fourth proportional to 22,282.72, 33,431 and 9,136.12 is: 13,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.72 : 33,431 = 9,136.12 : x
  2. Step 2: Convert to fraction form
    22,282.72/33,431 = 9,136.12/x
  3. Step 3: Cross multiply
    22,282.72x = 33,431 × 9,136.12
  4. Step 4: Simplify right side
    22,282.72x = 305,429,627.72
  5. Step 5: Solve for x
    x = 305,429,627.72/22,282.72
  6. Step 6: Final answer
    x = 13,707.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.