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Finding the Fourth Proportional to 27,881.81, 41,817.14 and 10,347.54

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Solution

The fourth proportional to 27,881.81, 41,817.14 and 10,347.54 is: 15,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.81 : 41,817.14 = 10,347.54 : x
  2. Step 2: Convert to fraction form
    27,881.81/41,817.14 = 10,347.54/x
  3. Step 3: Cross multiply
    27,881.81x = 41,817.14 × 10,347.54
  4. Step 4: Simplify right side
    27,881.81x = 432,704,528.84
  5. Step 5: Solve for x
    x = 432,704,528.84/27,881.81
  6. Step 6: Final answer
    x = 15,519.24

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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.