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Finding the Fourth Proportional to 12,141.36, 18,241.20 and 7,767.36

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Solution

The fourth proportional to 12,141.36, 18,241.20 and 7,767.36 is: 11,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.36 : 18,241.20 = 7,767.36 : x
  2. Step 2: Convert to fraction form
    12,141.36/18,241.20 = 7,767.36/x
  3. Step 3: Cross multiply
    12,141.36x = 18,241.20 × 7,767.36
  4. Step 4: Simplify right side
    12,141.36x = 141,685,967.23
  5. Step 5: Solve for x
    x = 141,685,967.23/12,141.36
  6. Step 6: Final answer
    x = 11,669.69

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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.