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Finding the Fourth Proportional to 29,174, 40,260.12 and 15,926

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Solution

The fourth proportional to 29,174, 40,260.12 and 15,926 is: 21,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,174 : 40,260.12 = 15,926 : x
  2. Step 2: Convert to fraction form
    29,174/40,260.12 = 15,926/x
  3. Step 3: Cross multiply
    29,174x = 40,260.12 × 15,926
  4. Step 4: Simplify right side
    29,174x = 641,182,671.12
  5. Step 5: Solve for x
    x = 641,182,671.12/29,174
  6. Step 6: Final answer
    x = 21,977.88

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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.