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Finding the Fourth Proportional to 18,641.50, 27,967.23 and 8,113.77

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Solution

The fourth proportional to 18,641.50, 27,967.23 and 8,113.77 is: 12,172.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,641.50 : 27,967.23 = 8,113.77 : x
  2. Step 2: Convert to fraction form
    18,641.50/27,967.23 = 8,113.77/x
  3. Step 3: Cross multiply
    18,641.50x = 27,967.23 × 8,113.77
  4. Step 4: Simplify right side
    18,641.50x = 226,919,671.76
  5. Step 5: Solve for x
    x = 226,919,671.76/18,641.50
  6. Step 6: Final answer
    x = 12,172.82

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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.