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Finding the Fourth Proportional to 16,282.56, 24,422.48 and 5,188.80

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Solution

The fourth proportional to 16,282.56, 24,422.48 and 5,188.80 is: 7,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.56 : 24,422.48 = 5,188.80 : x
  2. Step 2: Convert to fraction form
    16,282.56/24,422.48 = 5,188.80/x
  3. Step 3: Cross multiply
    16,282.56x = 24,422.48 × 5,188.80
  4. Step 4: Simplify right side
    16,282.56x = 126,723,364.22
  5. Step 5: Solve for x
    x = 126,723,364.22/16,282.56
  6. Step 6: Final answer
    x = 7,782.77

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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.