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Finding the Fourth Proportional to 21,453.75, 32,180.67 and 9,141.75

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Solution

The fourth proportional to 21,453.75, 32,180.67 and 9,141.75 is: 13,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,453.75 : 32,180.67 = 9,141.75 : x
  2. Step 2: Convert to fraction form
    21,453.75/32,180.67 = 9,141.75/x
  3. Step 3: Cross multiply
    21,453.75x = 32,180.67 × 9,141.75
  4. Step 4: Simplify right side
    21,453.75x = 294,187,639.97
  5. Step 5: Solve for x
    x = 294,187,639.97/21,453.75
  6. Step 6: Final answer
    x = 13,712.64

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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.