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Finding the Fourth Proportional to 27,837.84, 41,770.14 and 13,044.36

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Solution

The fourth proportional to 27,837.84, 41,770.14 and 13,044.36 is: 19,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837.84 : 41,770.14 = 13,044.36 : x
  2. Step 2: Convert to fraction form
    27,837.84/41,770.14 = 13,044.36/x
  3. Step 3: Cross multiply
    27,837.84x = 41,770.14 × 13,044.36
  4. Step 4: Simplify right side
    27,837.84x = 544,864,743.41
  5. Step 5: Solve for x
    x = 544,864,743.41/27,837.84
  6. Step 6: Final answer
    x = 19,572.81

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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.