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Finding the Fourth Proportional to 12,154, 18,234.24 and 5,998

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Solution

The fourth proportional to 12,154, 18,234.24 and 5,998 is: 8,998.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154 : 18,234.24 = 5,998 : x
  2. Step 2: Convert to fraction form
    12,154/18,234.24 = 5,998/x
  3. Step 3: Cross multiply
    12,154x = 18,234.24 × 5,998
  4. Step 4: Simplify right side
    12,154x = 109,368,971.52
  5. Step 5: Solve for x
    x = 109,368,971.52/12,154
  6. Step 6: Final answer
    x = 8,998.60

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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.