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Finding the Fourth Proportional to 27,425.35, 41,139.62 and 7,705.44

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Solution

The fourth proportional to 27,425.35, 41,139.62 and 7,705.44 is: 11,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.35 : 41,139.62 = 7,705.44 : x
  2. Step 2: Convert to fraction form
    27,425.35/41,139.62 = 7,705.44/x
  3. Step 3: Cross multiply
    27,425.35x = 41,139.62 × 7,705.44
  4. Step 4: Simplify right side
    27,425.35x = 316,998,835.01
  5. Step 5: Solve for x
    x = 316,998,835.01/27,425.35
  6. Step 6: Final answer
    x = 11,558.61

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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.