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Finding the Fourth Proportional to 22,584.58, 33,892.40 and 7,793.50

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Solution

The fourth proportional to 22,584.58, 33,892.40 and 7,793.50 is: 11,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.58 : 33,892.40 = 7,793.50 : x
  2. Step 2: Convert to fraction form
    22,584.58/33,892.40 = 7,793.50/x
  3. Step 3: Cross multiply
    22,584.58x = 33,892.40 × 7,793.50
  4. Step 4: Simplify right side
    22,584.58x = 264,140,419.40
  5. Step 5: Solve for x
    x = 264,140,419.40/22,584.58
  6. Step 6: Final answer
    x = 11,695.61

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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.