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Finding the Fourth Proportional to 26,496, 39,709.92 and 20,232.96

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Solution

The fourth proportional to 26,496, 39,709.92 and 20,232.96 is: 30,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,496 : 39,709.92 = 20,232.96 : x
  2. Step 2: Convert to fraction form
    26,496/39,709.92 = 20,232.96/x
  3. Step 3: Cross multiply
    26,496x = 39,709.92 × 20,232.96
  4. Step 4: Simplify right side
    26,496x = 803,449,222.96
  5. Step 5: Solve for x
    x = 803,449,222.96/26,496
  6. Step 6: Final answer
    x = 30,323.42

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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.