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Finding the Fourth Proportional to 16,643.23, 24,965.36 and 7,278.43

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Solution

The fourth proportional to 16,643.23, 24,965.36 and 7,278.43 is: 10,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.23 : 24,965.36 = 7,278.43 : x
  2. Step 2: Convert to fraction form
    16,643.23/24,965.36 = 7,278.43/x
  3. Step 3: Cross multiply
    16,643.23x = 24,965.36 × 7,278.43
  4. Step 4: Simplify right side
    16,643.23x = 181,708,463.97
  5. Step 5: Solve for x
    x = 181,708,463.97/16,643.23
  6. Step 6: Final answer
    x = 10,917.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.