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Finding the Fourth Proportional to 29,682.52, 40,965.13 and 18,927.76

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Solution

The fourth proportional to 29,682.52, 40,965.13 and 18,927.76 is: 26,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.52 : 40,965.13 = 18,927.76 : x
  2. Step 2: Convert to fraction form
    29,682.52/40,965.13 = 18,927.76/x
  3. Step 3: Cross multiply
    29,682.52x = 40,965.13 × 18,927.76
  4. Step 4: Simplify right side
    29,682.52x = 775,378,149.01
  5. Step 5: Solve for x
    x = 775,378,149.01/29,682.52
  6. Step 6: Final answer
    x = 26,122.38

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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.