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Finding the Fourth Proportional to 18,576.18, 27,871.53 and 8,180.64

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Solution

The fourth proportional to 18,576.18, 27,871.53 and 8,180.64 is: 12,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576.18 : 27,871.53 = 8,180.64 : x
  2. Step 2: Convert to fraction form
    18,576.18/27,871.53 = 8,180.64/x
  3. Step 3: Cross multiply
    18,576.18x = 27,871.53 × 8,180.64
  4. Step 4: Simplify right side
    18,576.18x = 228,006,953.18
  5. Step 5: Solve for x
    x = 228,006,953.18/18,576.18
  6. Step 6: Final answer
    x = 12,274.16

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1.5x scale

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.