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Finding the Fourth Proportional to 26,177, 39,273.06 and 7,709

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Solution

The fourth proportional to 26,177, 39,273.06 and 7,709 is: 11,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177 : 39,273.06 = 7,709 : x
  2. Step 2: Convert to fraction form
    26,177/39,273.06 = 7,709/x
  3. Step 3: Cross multiply
    26,177x = 39,273.06 × 7,709
  4. Step 4: Simplify right side
    26,177x = 302,756,019.54
  5. Step 5: Solve for x
    x = 302,756,019.54/26,177
  6. Step 6: Final answer
    x = 11,565.73

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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.