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Finding the Fourth Proportional to 11,020.86, 16,542.22 and 8,582.36

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Solution

The fourth proportional to 11,020.86, 16,542.22 and 8,582.36 is: 12,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020.86 : 16,542.22 = 8,582.36 : x
  2. Step 2: Convert to fraction form
    11,020.86/16,542.22 = 8,582.36/x
  3. Step 3: Cross multiply
    11,020.86x = 16,542.22 × 8,582.36
  4. Step 4: Simplify right side
    11,020.86x = 141,971,287.24
  5. Step 5: Solve for x
    x = 141,971,287.24/11,020.86
  6. Step 6: Final answer
    x = 12,882.05

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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.