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Finding the Fourth Proportional to 29,584.71, 40,828.56 and 16,157.21

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Solution

The fourth proportional to 29,584.71, 40,828.56 and 16,157.21 is: 22,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,584.71 : 40,828.56 = 16,157.21 : x
  2. Step 2: Convert to fraction form
    29,584.71/40,828.56 = 16,157.21/x
  3. Step 3: Cross multiply
    29,584.71x = 40,828.56 × 16,157.21
  4. Step 4: Simplify right side
    29,584.71x = 659,675,617.92
  5. Step 5: Solve for x
    x = 659,675,617.92/29,584.71
  6. Step 6: Final answer
    x = 22,297.86

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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.