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Finding the Fourth Proportional to 15,231.84, 22,847.94 and 5,371.38

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Solution

The fourth proportional to 15,231.84, 22,847.94 and 5,371.38 is: 8,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.84 : 22,847.94 = 5,371.38 : x
  2. Step 2: Convert to fraction form
    15,231.84/22,847.94 = 5,371.38/x
  3. Step 3: Cross multiply
    15,231.84x = 22,847.94 × 5,371.38
  4. Step 4: Simplify right side
    15,231.84x = 122,724,967.96
  5. Step 5: Solve for x
    x = 122,724,967.96/15,231.84
  6. Step 6: Final answer
    x = 8,057.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.