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Finding the Fourth Proportional to 15,997.57, 23,947.14 and 10,438.94

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Solution

The fourth proportional to 15,997.57, 23,947.14 and 10,438.94 is: 15,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.57 : 23,947.14 = 10,438.94 : x
  2. Step 2: Convert to fraction form
    15,997.57/23,947.14 = 10,438.94/x
  3. Step 3: Cross multiply
    15,997.57x = 23,947.14 × 10,438.94
  4. Step 4: Simplify right side
    15,997.57x = 249,982,817.50
  5. Step 5: Solve for x
    x = 249,982,817.50/15,997.57
  6. Step 6: Final answer
    x = 15,626.30

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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.