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Finding the Fourth Proportional to 17,942.20, 26,909.70 and 8,582.20

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Solution

The fourth proportional to 17,942.20, 26,909.70 and 8,582.20 is: 12,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,942.20 : 26,909.70 = 8,582.20 : x
  2. Step 2: Convert to fraction form
    17,942.20/26,909.70 = 8,582.20/x
  3. Step 3: Cross multiply
    17,942.20x = 26,909.70 × 8,582.20
  4. Step 4: Simplify right side
    17,942.20x = 230,944,427.34
  5. Step 5: Solve for x
    x = 230,944,427.34/17,942.20
  6. Step 6: Final answer
    x = 12,871.58

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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.