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Finding the Fourth Proportional to 18,580.14, 27,872.16 and 8,051.23

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Solution

The fourth proportional to 18,580.14, 27,872.16 and 8,051.23 is: 12,077.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.14 : 27,872.16 = 8,051.23 : x
  2. Step 2: Convert to fraction form
    18,580.14/27,872.16 = 8,051.23/x
  3. Step 3: Cross multiply
    18,580.14x = 27,872.16 × 8,051.23
  4. Step 4: Simplify right side
    18,580.14x = 224,405,170.76
  5. Step 5: Solve for x
    x = 224,405,170.76/18,580.14
  6. Step 6: Final answer
    x = 12,077.69

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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.