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Finding the Fourth Proportional to 11,972.34, 17,959.14 and 3,207.24

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Solution

The fourth proportional to 11,972.34, 17,959.14 and 3,207.24 is: 4,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.34 : 17,959.14 = 3,207.24 : x
  2. Step 2: Convert to fraction form
    11,972.34/17,959.14 = 3,207.24/x
  3. Step 3: Cross multiply
    11,972.34x = 17,959.14 × 3,207.24
  4. Step 4: Simplify right side
    11,972.34x = 57,599,272.17
  5. Step 5: Solve for x
    x = 57,599,272.17/11,972.34
  6. Step 6: Final answer
    x = 4,811.03

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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.