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Finding the Fourth Proportional to 14,782.17, 20,399.21 and 8,494.65

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Solution

The fourth proportional to 14,782.17, 20,399.21 and 8,494.65 is: 11,722.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.17 : 20,399.21 = 8,494.65 : x
  2. Step 2: Convert to fraction form
    14,782.17/20,399.21 = 8,494.65/x
  3. Step 3: Cross multiply
    14,782.17x = 20,399.21 × 8,494.65
  4. Step 4: Simplify right side
    14,782.17x = 173,284,106.75
  5. Step 5: Solve for x
    x = 173,284,106.75/14,782.17
  6. Step 6: Final answer
    x = 11,722.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.