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Finding the Fourth Proportional to 29,824.67, 41,158.09 and 16,396.16

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Solution

The fourth proportional to 29,824.67, 41,158.09 and 16,396.16 is: 22,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.67 : 41,158.09 = 16,396.16 : x
  2. Step 2: Convert to fraction form
    29,824.67/41,158.09 = 16,396.16/x
  3. Step 3: Cross multiply
    29,824.67x = 41,158.09 × 16,396.16
  4. Step 4: Simplify right side
    29,824.67x = 674,834,443.64
  5. Step 5: Solve for x
    x = 674,834,443.64/29,824.67
  6. Step 6: Final answer
    x = 22,626.72

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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.