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Finding the Fourth Proportional to 22,645.35, 33,968.46 and 7,854.75

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Solution

The fourth proportional to 22,645.35, 33,968.46 and 7,854.75 is: 11,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.35 : 33,968.46 = 7,854.75 : x
  2. Step 2: Convert to fraction form
    22,645.35/33,968.46 = 7,854.75/x
  3. Step 3: Cross multiply
    22,645.35x = 33,968.46 × 7,854.75
  4. Step 4: Simplify right side
    22,645.35x = 266,813,761.19
  5. Step 5: Solve for x
    x = 266,813,761.19/22,645.35
  6. Step 6: Final answer
    x = 11,782.28

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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.