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Finding the Fourth Proportional to 16,524.36, 22,807.38 and 9,454.68

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Solution

The fourth proportional to 16,524.36, 22,807.38 and 9,454.68 is: 13,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.36 : 22,807.38 = 9,454.68 : x
  2. Step 2: Convert to fraction form
    16,524.36/22,807.38 = 9,454.68/x
  3. Step 3: Cross multiply
    16,524.36x = 22,807.38 × 9,454.68
  4. Step 4: Simplify right side
    16,524.36x = 215,636,479.54
  5. Step 5: Solve for x
    x = 215,636,479.54/16,524.36
  6. Step 6: Final answer
    x = 13,049.61

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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.