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Finding the Fourth Proportional to 29,128, 40,196.64 and 16,553.56

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Solution

The fourth proportional to 29,128, 40,196.64 and 16,553.56 is: 22,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,128 : 40,196.64 = 16,553.56 : x
  2. Step 2: Convert to fraction form
    29,128/40,196.64 = 16,553.56/x
  3. Step 3: Cross multiply
    29,128x = 40,196.64 × 16,553.56
  4. Step 4: Simplify right side
    29,128x = 665,397,492.04
  5. Step 5: Solve for x
    x = 665,397,492.04/29,128
  6. Step 6: Final answer
    x = 22,843.91

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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.