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Finding the Fourth Proportional to 12,134.16, 18,190.60 and 10,071.28

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Solution

The fourth proportional to 12,134.16, 18,190.60 and 10,071.28 is: 15,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.16 : 18,190.60 = 10,071.28 : x
  2. Step 2: Convert to fraction form
    12,134.16/18,190.60 = 10,071.28/x
  3. Step 3: Cross multiply
    12,134.16x = 18,190.60 × 10,071.28
  4. Step 4: Simplify right side
    12,134.16x = 183,202,625.97
  5. Step 5: Solve for x
    x = 183,202,625.97/12,134.16
  6. Step 6: Final answer
    x = 15,098.09

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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.