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Finding the Fourth Proportional to 11,892.70, 17,839.05 and 9,819.10

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Solution

The fourth proportional to 11,892.70, 17,839.05 and 9,819.10 is: 14,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.70 : 17,839.05 = 9,819.10 : x
  2. Step 2: Convert to fraction form
    11,892.70/17,839.05 = 9,819.10/x
  3. Step 3: Cross multiply
    11,892.70x = 17,839.05 × 9,819.10
  4. Step 4: Simplify right side
    11,892.70x = 175,163,415.86
  5. Step 5: Solve for x
    x = 175,163,415.86/11,892.70
  6. Step 6: Final answer
    x = 14,728.65

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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.