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Finding the Fourth Proportional to 19,711.92, 27,202.05 and 10,759.40

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Solution

The fourth proportional to 19,711.92, 27,202.05 and 10,759.40 is: 14,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.92 : 27,202.05 = 10,759.40 : x
  2. Step 2: Convert to fraction form
    19,711.92/27,202.05 = 10,759.40/x
  3. Step 3: Cross multiply
    19,711.92x = 27,202.05 × 10,759.40
  4. Step 4: Simplify right side
    19,711.92x = 292,677,600.76
  5. Step 5: Solve for x
    x = 292,677,600.76/19,711.92
  6. Step 6: Final answer
    x = 14,847.75

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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.