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Finding the Fourth Proportional to 21,845.26, 32,767.88 and 5,429.26

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Solution

The fourth proportional to 21,845.26, 32,767.88 and 5,429.26 is: 8,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845.26 : 32,767.88 = 5,429.26 : x
  2. Step 2: Convert to fraction form
    21,845.26/32,767.88 = 5,429.26/x
  3. Step 3: Cross multiply
    21,845.26x = 32,767.88 × 5,429.26
  4. Step 4: Simplify right side
    21,845.26x = 177,905,340.17
  5. Step 5: Solve for x
    x = 177,905,340.17/21,845.26
  6. Step 6: Final answer
    x = 8,143.89

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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.