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Finding the Fourth Proportional to 14,782.75, 20,402.82 and 8,814.80

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Solution

The fourth proportional to 14,782.75, 20,402.82 and 8,814.80 is: 12,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.75 : 20,402.82 = 8,814.80 : x
  2. Step 2: Convert to fraction form
    14,782.75/20,402.82 = 8,814.80/x
  3. Step 3: Cross multiply
    14,782.75x = 20,402.82 × 8,814.80
  4. Step 4: Simplify right side
    14,782.75x = 179,846,828.74
  5. Step 5: Solve for x
    x = 179,846,828.74/14,782.75
  6. Step 6: Final answer
    x = 12,165.99

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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.