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Finding the Fourth Proportional to 27,424.84, 41,134.05 and 7,705.09

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Solution

The fourth proportional to 27,424.84, 41,134.05 and 7,705.09 is: 11,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.84 : 41,134.05 = 7,705.09 : x
  2. Step 2: Convert to fraction form
    27,424.84/41,134.05 = 7,705.09/x
  3. Step 3: Cross multiply
    27,424.84x = 41,134.05 × 7,705.09
  4. Step 4: Simplify right side
    27,424.84x = 316,941,557.31
  5. Step 5: Solve for x
    x = 316,941,557.31/27,424.84
  6. Step 6: Final answer
    x = 11,556.73

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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.