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Finding the Fourth Proportional to 21,845.25, 32,767.88 and 5,429.25

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Solution

The fourth proportional to 21,845.25, 32,767.88 and 5,429.25 is: 8,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845.25 : 32,767.88 = 5,429.25 : x
  2. Step 2: Convert to fraction form
    21,845.25/32,767.88 = 5,429.25/x
  3. Step 3: Cross multiply
    21,845.25x = 32,767.88 × 5,429.25
  4. Step 4: Simplify right side
    21,845.25x = 177,905,012.49
  5. Step 5: Solve for x
    x = 177,905,012.49/21,845.25
  6. Step 6: Final answer
    x = 8,143.88

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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.