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Finding the Fourth Proportional to 14,399.82, 21,599.73 and 8,239.50

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Solution

The fourth proportional to 14,399.82, 21,599.73 and 8,239.50 is: 12,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.82 : 21,599.73 = 8,239.50 : x
  2. Step 2: Convert to fraction form
    14,399.82/21,599.73 = 8,239.50/x
  3. Step 3: Cross multiply
    14,399.82x = 21,599.73 × 8,239.50
  4. Step 4: Simplify right side
    14,399.82x = 177,970,975.34
  5. Step 5: Solve for x
    x = 177,970,975.34/14,399.82
  6. Step 6: Final answer
    x = 12,359.25

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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.