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Finding the Fourth Proportional to 14,519.12, 21,786.68 and 8,686.80

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Solution

The fourth proportional to 14,519.12, 21,786.68 and 8,686.80 is: 13,034.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.12 : 21,786.68 = 8,686.80 : x
  2. Step 2: Convert to fraction form
    14,519.12/21,786.68 = 8,686.80/x
  3. Step 3: Cross multiply
    14,519.12x = 21,786.68 × 8,686.80
  4. Step 4: Simplify right side
    14,519.12x = 189,256,531.82
  5. Step 5: Solve for x
    x = 189,256,531.82/14,519.12
  6. Step 6: Final answer
    x = 13,034.99

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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.