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Finding the Fourth Proportional to 29,824.64, 41,156.27 and 16,395.90

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Solution

The fourth proportional to 29,824.64, 41,156.27 and 16,395.90 is: 22,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.64 : 41,156.27 = 16,395.90 : x
  2. Step 2: Convert to fraction form
    29,824.64/41,156.27 = 16,395.90/x
  3. Step 3: Cross multiply
    29,824.64x = 41,156.27 × 16,395.90
  4. Step 4: Simplify right side
    29,824.64x = 674,794,004.69
  5. Step 5: Solve for x
    x = 674,794,004.69/29,824.64
  6. Step 6: Final answer
    x = 22,625.38

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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.