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Finding the Fourth Proportional to 18,406.17, 27,615.78 and 7,871.76

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Solution

The fourth proportional to 18,406.17, 27,615.78 and 7,871.76 is: 11,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.17 : 27,615.78 = 7,871.76 : x
  2. Step 2: Convert to fraction form
    18,406.17/27,615.78 = 7,871.76/x
  3. Step 3: Cross multiply
    18,406.17x = 27,615.78 × 7,871.76
  4. Step 4: Simplify right side
    18,406.17x = 217,384,792.37
  5. Step 5: Solve for x
    x = 217,384,792.37/18,406.17
  6. Step 6: Final answer
    x = 11,810.43

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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.