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Finding the Fourth Proportional to 13,287.81, 19,940.93 and 8,596.14

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Solution

The fourth proportional to 13,287.81, 19,940.93 and 8,596.14 is: 12,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.81 : 19,940.93 = 8,596.14 : x
  2. Step 2: Convert to fraction form
    13,287.81/19,940.93 = 8,596.14/x
  3. Step 3: Cross multiply
    13,287.81x = 19,940.93 × 8,596.14
  4. Step 4: Simplify right side
    13,287.81x = 171,414,983.03
  5. Step 5: Solve for x
    x = 171,414,983.03/13,287.81
  6. Step 6: Final answer
    x = 12,900.17

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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.