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Finding the Fourth Proportional to 26,581, 39,871.44 and 6,859.52

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Solution

The fourth proportional to 26,581, 39,871.44 and 6,859.52 is: 10,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,581 : 39,871.44 = 6,859.52 : x
  2. Step 2: Convert to fraction form
    26,581/39,871.44 = 6,859.52/x
  3. Step 3: Cross multiply
    26,581x = 39,871.44 × 6,859.52
  4. Step 4: Simplify right side
    26,581x = 273,498,940.11
  5. Step 5: Solve for x
    x = 273,498,940.11/26,581
  6. Step 6: Final answer
    x = 10,289.26

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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.