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Finding the Fourth Proportional to 34,188.14, 51,251 and 11,989.41

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Solution

The fourth proportional to 34,188.14, 51,251 and 11,989.41 is: 17,973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188.14 : 51,251 = 11,989.41 : x
  2. Step 2: Convert to fraction form
    34,188.14/51,251 = 11,989.41/x
  3. Step 3: Cross multiply
    34,188.14x = 51,251 × 11,989.41
  4. Step 4: Simplify right side
    34,188.14x = 614,469,251.91
  5. Step 5: Solve for x
    x = 614,469,251.91/34,188.14
  6. Step 6: Final answer
    x = 17,973.17

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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.