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Finding the Fourth Proportional to 24,357, 33,612.66 and 13,179

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Solution

The fourth proportional to 24,357, 33,612.66 and 13,179 is: 18,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357 : 33,612.66 = 13,179 : x
  2. Step 2: Convert to fraction form
    24,357/33,612.66 = 13,179/x
  3. Step 3: Cross multiply
    24,357x = 33,612.66 × 13,179
  4. Step 4: Simplify right side
    24,357x = 442,981,246.14
  5. Step 5: Solve for x
    x = 442,981,246.14/24,357
  6. Step 6: Final answer
    x = 18,187.02

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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.