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Finding the Fourth Proportional to 29,824.38, 41,157.63 and 16,396.50

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Solution

The fourth proportional to 29,824.38, 41,157.63 and 16,396.50 is: 22,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.38 : 41,157.63 = 16,396.50 : x
  2. Step 2: Convert to fraction form
    29,824.38/41,157.63 = 16,396.50/x
  3. Step 3: Cross multiply
    29,824.38x = 41,157.63 × 16,396.50
  4. Step 4: Simplify right side
    29,824.38x = 674,841,080.30
  5. Step 5: Solve for x
    x = 674,841,080.30/29,824.38
  6. Step 6: Final answer
    x = 22,627.16

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Why These Related Problems?

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