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Finding the Fourth Proportional to 12,076.17, 18,112.41 and 4,071.12

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Solution

The fourth proportional to 12,076.17, 18,112.41 and 4,071.12 is: 6,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.17 : 18,112.41 = 4,071.12 : x
  2. Step 2: Convert to fraction form
    12,076.17/18,112.41 = 4,071.12/x
  3. Step 3: Cross multiply
    12,076.17x = 18,112.41 × 4,071.12
  4. Step 4: Simplify right side
    12,076.17x = 73,737,794.60
  5. Step 5: Solve for x
    x = 73,737,794.60/12,076.17
  6. Step 6: Final answer
    x = 6,106.06

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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.