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Finding the Fourth Proportional to 22,582.62, 33,875.69 and 6,786.42

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Solution

The fourth proportional to 22,582.62, 33,875.69 and 6,786.42 is: 10,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.62 : 33,875.69 = 6,786.42 : x
  2. Step 2: Convert to fraction form
    22,582.62/33,875.69 = 6,786.42/x
  3. Step 3: Cross multiply
    22,582.62x = 33,875.69 × 6,786.42
  4. Step 4: Simplify right side
    22,582.62x = 229,894,626.20
  5. Step 5: Solve for x
    x = 229,894,626.20/22,582.62
  6. Step 6: Final answer
    x = 10,180.16

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