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Finding the Fourth Proportional to 22,582.52, 33,873.76 and 6,166.52

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Solution

The fourth proportional to 22,582.52, 33,873.76 and 6,166.52 is: 9,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.52 : 33,873.76 = 6,166.52 : x
  2. Step 2: Convert to fraction form
    22,582.52/33,873.76 = 6,166.52/x
  3. Step 3: Cross multiply
    22,582.52x = 33,873.76 × 6,166.52
  4. Step 4: Simplify right side
    22,582.52x = 208,883,218.52
  5. Step 5: Solve for x
    x = 208,883,218.52/22,582.52
  6. Step 6: Final answer
    x = 9,249.77

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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.