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Finding the Fourth Proportional to 19,664.36, 29,496 and 8,571.04

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Solution

The fourth proportional to 19,664.36, 29,496 and 8,571.04 is: 12,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.36 : 29,496 = 8,571.04 : x
  2. Step 2: Convert to fraction form
    19,664.36/29,496 = 8,571.04/x
  3. Step 3: Cross multiply
    19,664.36x = 29,496 × 8,571.04
  4. Step 4: Simplify right side
    19,664.36x = 252,811,395.84
  5. Step 5: Solve for x
    x = 252,811,395.84/19,664.36
  6. Step 6: Final answer
    x = 12,856.32

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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.