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Finding the Fourth Proportional to 26,592, 39,889.92 and 10,176

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Solution

The fourth proportional to 26,592, 39,889.92 and 10,176 is: 15,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,592 : 39,889.92 = 10,176 : x
  2. Step 2: Convert to fraction form
    26,592/39,889.92 = 10,176/x
  3. Step 3: Cross multiply
    26,592x = 39,889.92 × 10,176
  4. Step 4: Simplify right side
    26,592x = 405,919,825.92
  5. Step 5: Solve for x
    x = 405,919,825.92/26,592
  6. Step 6: Final answer
    x = 15,264.73

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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.