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Finding the Fourth Proportional to 14,542.03, 21,822 and 5,777.65

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Solution

The fourth proportional to 14,542.03, 21,822 and 5,777.65 is: 8,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.03 : 21,822 = 5,777.65 : x
  2. Step 2: Convert to fraction form
    14,542.03/21,822 = 5,777.65/x
  3. Step 3: Cross multiply
    14,542.03x = 21,822 × 5,777.65
  4. Step 4: Simplify right side
    14,542.03x = 126,079,878.30
  5. Step 5: Solve for x
    x = 126,079,878.30/14,542.03
  6. Step 6: Final answer
    x = 8,670.03

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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.