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Finding the Fourth Proportional to 22,534.07, 33,801.91 and 7,742.89

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Solution

The fourth proportional to 22,534.07, 33,801.91 and 7,742.89 is: 11,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534.07 : 33,801.91 = 7,742.89 : x
  2. Step 2: Convert to fraction form
    22,534.07/33,801.91 = 7,742.89/x
  3. Step 3: Cross multiply
    22,534.07x = 33,801.91 × 7,742.89
  4. Step 4: Simplify right side
    22,534.07x = 261,724,493.82
  5. Step 5: Solve for x
    x = 261,724,493.82/22,534.07
  6. Step 6: Final answer
    x = 11,614.61

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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.