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Finding the Fourth Proportional to 26,493.76, 39,740.64 and 8,975.92

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Solution

The fourth proportional to 26,493.76, 39,740.64 and 8,975.92 is: 13,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,493.76 : 39,740.64 = 8,975.92 : x
  2. Step 2: Convert to fraction form
    26,493.76/39,740.64 = 8,975.92/x
  3. Step 3: Cross multiply
    26,493.76x = 39,740.64 × 8,975.92
  4. Step 4: Simplify right side
    26,493.76x = 356,708,805.39
  5. Step 5: Solve for x
    x = 356,708,805.39/26,493.76
  6. Step 6: Final answer
    x = 13,463.88

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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.