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Finding the Fourth Proportional to 15,124, 22,686 and 5,896.48

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Solution

The fourth proportional to 15,124, 22,686 and 5,896.48 is: 8,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,124 : 22,686 = 5,896.48 : x
  2. Step 2: Convert to fraction form
    15,124/22,686 = 5,896.48/x
  3. Step 3: Cross multiply
    15,124x = 22,686 × 5,896.48
  4. Step 4: Simplify right side
    15,124x = 133,767,545.28
  5. Step 5: Solve for x
    x = 133,767,545.28/15,124
  6. Step 6: Final answer
    x = 8,844.72

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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.