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Finding the Fourth Proportional to 12,066.78, 18,102.09 and 5,141.34

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Solution

The fourth proportional to 12,066.78, 18,102.09 and 5,141.34 is: 7,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.78 : 18,102.09 = 5,141.34 : x
  2. Step 2: Convert to fraction form
    12,066.78/18,102.09 = 5,141.34/x
  3. Step 3: Cross multiply
    12,066.78x = 18,102.09 × 5,141.34
  4. Step 4: Simplify right side
    12,066.78x = 93,068,999.40
  5. Step 5: Solve for x
    x = 93,068,999.40/12,066.78
  6. Step 6: Final answer
    x = 7,712.83

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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.