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Finding the Fourth Proportional to 12,141.34, 18,181.03 and 9,679.75

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Solution

The fourth proportional to 12,141.34, 18,181.03 and 9,679.75 is: 14,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.34 : 18,181.03 = 9,679.75 : x
  2. Step 2: Convert to fraction form
    12,141.34/18,181.03 = 9,679.75/x
  3. Step 3: Cross multiply
    12,141.34x = 18,181.03 × 9,679.75
  4. Step 4: Simplify right side
    12,141.34x = 175,987,903.13
  5. Step 5: Solve for x
    x = 175,987,903.13/12,141.34
  6. Step 6: Final answer
    x = 14,494.93

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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.