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Finding the Fourth Proportional to 22,536.48, 33,796.08 and 7,742.64

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Solution

The fourth proportional to 22,536.48, 33,796.08 and 7,742.64 is: 11,610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.48 : 33,796.08 = 7,742.64 : x
  2. Step 2: Convert to fraction form
    22,536.48/33,796.08 = 7,742.64/x
  3. Step 3: Cross multiply
    22,536.48x = 33,796.08 × 7,742.64
  4. Step 4: Simplify right side
    22,536.48x = 261,670,880.85
  5. Step 5: Solve for x
    x = 261,670,880.85/22,536.48
  6. Step 6: Final answer
    x = 11,610.99

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Why These Related Problems?

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