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Finding the Fourth Proportional to 14,343.25, 19,793.17 and 7,969.76

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Solution

The fourth proportional to 14,343.25, 19,793.17 and 7,969.76 is: 10,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.25 : 19,793.17 = 7,969.76 : x
  2. Step 2: Convert to fraction form
    14,343.25/19,793.17 = 7,969.76/x
  3. Step 3: Cross multiply
    14,343.25x = 19,793.17 × 7,969.76
  4. Step 4: Simplify right side
    14,343.25x = 157,746,873.98
  5. Step 5: Solve for x
    x = 157,746,873.98/14,343.25
  6. Step 6: Final answer
    x = 10,997.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.