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Finding the Fourth Proportional to 23,571.65, 32,529.43 and 12,817.14

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Solution

The fourth proportional to 23,571.65, 32,529.43 and 12,817.14 is: 17,687.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571.65 : 32,529.43 = 12,817.14 : x
  2. Step 2: Convert to fraction form
    23,571.65/32,529.43 = 12,817.14/x
  3. Step 3: Cross multiply
    23,571.65x = 32,529.43 × 12,817.14
  4. Step 4: Simplify right side
    23,571.65x = 416,934,258.43
  5. Step 5: Solve for x
    x = 416,934,258.43/23,571.65
  6. Step 6: Final answer
    x = 17,687.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.