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Finding the Fourth Proportional to 12,170.84, 18,232.58 and 7,998.17

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Solution

The fourth proportional to 12,170.84, 18,232.58 and 7,998.17 is: 11,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.84 : 18,232.58 = 7,998.17 : x
  2. Step 2: Convert to fraction form
    12,170.84/18,232.58 = 7,998.17/x
  3. Step 3: Cross multiply
    12,170.84x = 18,232.58 × 7,998.17
  4. Step 4: Simplify right side
    12,170.84x = 145,827,143.22
  5. Step 5: Solve for x
    x = 145,827,143.22/12,170.84
  6. Step 6: Final answer
    x = 11,981.69

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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.