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Finding the Fourth Proportional to 26,678.34, 40,020.30 and 9,149.58

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Solution

The fourth proportional to 26,678.34, 40,020.30 and 9,149.58 is: 13,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,678.34 : 40,020.30 = 9,149.58 : x
  2. Step 2: Convert to fraction form
    26,678.34/40,020.30 = 9,149.58/x
  3. Step 3: Cross multiply
    26,678.34x = 40,020.30 × 9,149.58
  4. Step 4: Simplify right side
    26,678.34x = 366,168,936.47
  5. Step 5: Solve for x
    x = 366,168,936.47/26,678.34
  6. Step 6: Final answer
    x = 13,725.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.