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Finding the Fourth Proportional to 26,687.51, 40,031.27 and 6,965.90

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Solution

The fourth proportional to 26,687.51, 40,031.27 and 6,965.90 is: 10,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,687.51 : 40,031.27 = 6,965.90 : x
  2. Step 2: Convert to fraction form
    26,687.51/40,031.27 = 6,965.90/x
  3. Step 3: Cross multiply
    26,687.51x = 40,031.27 × 6,965.90
  4. Step 4: Simplify right side
    26,687.51x = 278,853,588.71
  5. Step 5: Solve for x
    x = 278,853,588.71/26,687.51
  6. Step 6: Final answer
    x = 10,448.84

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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.