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Finding the Fourth Proportional to 22,641.35, 33,954.32 and 7,846.82

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Solution

The fourth proportional to 22,641.35, 33,954.32 and 7,846.82 is: 11,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.35 : 33,954.32 = 7,846.82 : x
  2. Step 2: Convert to fraction form
    22,641.35/33,954.32 = 7,846.82/x
  3. Step 3: Cross multiply
    22,641.35x = 33,954.32 × 7,846.82
  4. Step 4: Simplify right side
    22,641.35x = 266,433,228.26
  5. Step 5: Solve for x
    x = 266,433,228.26/22,641.35
  6. Step 6: Final answer
    x = 11,767.55

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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.