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Finding the Fourth Proportional to 25,172.92, 37,760.10 and 8,533

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Solution

The fourth proportional to 25,172.92, 37,760.10 and 8,533 is: 12,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172.92 : 37,760.10 = 8,533 : x
  2. Step 2: Convert to fraction form
    25,172.92/37,760.10 = 8,533/x
  3. Step 3: Cross multiply
    25,172.92x = 37,760.10 × 8,533
  4. Step 4: Simplify right side
    25,172.92x = 322,206,933.30
  5. Step 5: Solve for x
    x = 322,206,933.30/25,172.92
  6. Step 6: Final answer
    x = 12,799.74

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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.