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Finding the Fourth Proportional to 12,007.17, 17,998.27 and 4,991

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Solution

The fourth proportional to 12,007.17, 17,998.27 and 4,991 is: 7,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.17 : 17,998.27 = 4,991 : x
  2. Step 2: Convert to fraction form
    12,007.17/17,998.27 = 4,991/x
  3. Step 3: Cross multiply
    12,007.17x = 17,998.27 × 4,991
  4. Step 4: Simplify right side
    12,007.17x = 89,829,340.62
  5. Step 5: Solve for x
    x = 89,829,340.62/12,007.17
  6. Step 6: Final answer
    x = 7,481.31

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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.