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Finding the Fourth Proportional to 11,981.17, 17,969.28 and 3,214

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Solution

The fourth proportional to 11,981.17, 17,969.28 and 3,214 is: 4,820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.17 : 17,969.28 = 3,214 : x
  2. Step 2: Convert to fraction form
    11,981.17/17,969.28 = 3,214/x
  3. Step 3: Cross multiply
    11,981.17x = 17,969.28 × 3,214
  4. Step 4: Simplify right side
    11,981.17x = 57,753,265.92
  5. Step 5: Solve for x
    x = 57,753,265.92/11,981.17
  6. Step 6: Final answer
    x = 4,820.34

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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.