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Finding the Fourth Proportional to 24,758.92, 37,141.69 and 7,228.50

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Solution

The fourth proportional to 24,758.92, 37,141.69 and 7,228.50 is: 10,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.92 : 37,141.69 = 7,228.50 : x
  2. Step 2: Convert to fraction form
    24,758.92/37,141.69 = 7,228.50/x
  3. Step 3: Cross multiply
    24,758.92x = 37,141.69 × 7,228.50
  4. Step 4: Simplify right side
    24,758.92x = 268,478,622.35
  5. Step 5: Solve for x
    x = 268,478,622.35/24,758.92
  6. Step 6: Final answer
    x = 10,843.71

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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.