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Finding the Fourth Proportional to 26,706.14, 40,051.14 and 8,932.26

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Solution

The fourth proportional to 26,706.14, 40,051.14 and 8,932.26 is: 13,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.14 : 40,051.14 = 8,932.26 : x
  2. Step 2: Convert to fraction form
    26,706.14/40,051.14 = 8,932.26/x
  3. Step 3: Cross multiply
    26,706.14x = 40,051.14 × 8,932.26
  4. Step 4: Simplify right side
    26,706.14x = 357,747,195.78
  5. Step 5: Solve for x
    x = 357,747,195.78/26,706.14
  6. Step 6: Final answer
    x = 13,395.69

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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.