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Finding the Fourth Proportional to 22,582.18, 33,877.07 and 8,351.49

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Solution

The fourth proportional to 22,582.18, 33,877.07 and 8,351.49 is: 12,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.18 : 33,877.07 = 8,351.49 : x
  2. Step 2: Convert to fraction form
    22,582.18/33,877.07 = 8,351.49/x
  3. Step 3: Cross multiply
    22,582.18x = 33,877.07 × 8,351.49
  4. Step 4: Simplify right side
    22,582.18x = 282,924,011.33
  5. Step 5: Solve for x
    x = 282,924,011.33/22,582.18
  6. Step 6: Final answer
    x = 12,528.64

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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.