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Finding the Fourth Proportional to 13,998.70, 19,318.20 and 7,711

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Solution

The fourth proportional to 13,998.70, 19,318.20 and 7,711 is: 10,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.70 : 19,318.20 = 7,711 : x
  2. Step 2: Convert to fraction form
    13,998.70/19,318.20 = 7,711/x
  3. Step 3: Cross multiply
    13,998.70x = 19,318.20 × 7,711
  4. Step 4: Simplify right side
    13,998.70x = 148,962,640.20
  5. Step 5: Solve for x
    x = 148,962,640.20/13,998.70
  6. Step 6: Final answer
    x = 10,641.18

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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.