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Finding the Fourth Proportional to 14,428.74, 21,642.99 and 8,191.62

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Solution

The fourth proportional to 14,428.74, 21,642.99 and 8,191.62 is: 12,287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.74 : 21,642.99 = 8,191.62 : x
  2. Step 2: Convert to fraction form
    14,428.74/21,642.99 = 8,191.62/x
  3. Step 3: Cross multiply
    14,428.74x = 21,642.99 × 8,191.62
  4. Step 4: Simplify right side
    14,428.74x = 177,291,149.74
  5. Step 5: Solve for x
    x = 177,291,149.74/14,428.74
  6. Step 6: Final answer
    x = 12,287.36

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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.