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Finding the Fourth Proportional to 22,651.72, 33,962.08 and 11,536.90

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Solution

The fourth proportional to 22,651.72, 33,962.08 and 11,536.90 is: 17,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,651.72 : 33,962.08 = 11,536.90 : x
  2. Step 2: Convert to fraction form
    22,651.72/33,962.08 = 11,536.90/x
  3. Step 3: Cross multiply
    22,651.72x = 33,962.08 × 11,536.90
  4. Step 4: Simplify right side
    22,651.72x = 391,817,120.75
  5. Step 5: Solve for x
    x = 391,817,120.75/22,651.72
  6. Step 6: Final answer
    x = 17,297.46

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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.