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Finding the Fourth Proportional to 18,576.17, 27,871.55 and 8,180.63

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Solution

The fourth proportional to 18,576.17, 27,871.55 and 8,180.63 is: 12,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576.17 : 27,871.55 = 8,180.63 : x
  2. Step 2: Convert to fraction form
    18,576.17/27,871.55 = 8,180.63/x
  3. Step 3: Cross multiply
    18,576.17x = 27,871.55 × 8,180.63
  4. Step 4: Simplify right side
    18,576.17x = 228,006,657.82
  5. Step 5: Solve for x
    x = 228,006,657.82/18,576.17
  6. Step 6: Final answer
    x = 12,274.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.