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Finding the Fourth Proportional to 18,580.72, 27,874.74 and 8,192.56

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Solution

The fourth proportional to 18,580.72, 27,874.74 and 8,192.56 is: 12,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.72 : 27,874.74 = 8,192.56 : x
  2. Step 2: Convert to fraction form
    18,580.72/27,874.74 = 8,192.56/x
  3. Step 3: Cross multiply
    18,580.72x = 27,874.74 × 8,192.56
  4. Step 4: Simplify right side
    18,580.72x = 228,365,479.93
  5. Step 5: Solve for x
    x = 228,365,479.93/18,580.72
  6. Step 6: Final answer
    x = 12,290.45

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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.