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Finding the Fourth Proportional to 19,817.40, 29,724.57 and 7,331.58

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Solution

The fourth proportional to 19,817.40, 29,724.57 and 7,331.58 is: 10,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,817.40 : 29,724.57 = 7,331.58 : x
  2. Step 2: Convert to fraction form
    19,817.40/29,724.57 = 7,331.58/x
  3. Step 3: Cross multiply
    19,817.40x = 29,724.57 × 7,331.58
  4. Step 4: Simplify right side
    19,817.40x = 217,928,062.92
  5. Step 5: Solve for x
    x = 217,928,062.92/19,817.40
  6. Step 6: Final answer
    x = 10,996.80

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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.