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Finding the Fourth Proportional to 12,321.86, 18,492.52 and 5,744.66

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Solution

The fourth proportional to 12,321.86, 18,492.52 and 5,744.66 is: 8,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.86 : 18,492.52 = 5,744.66 : x
  2. Step 2: Convert to fraction form
    12,321.86/18,492.52 = 5,744.66/x
  3. Step 3: Cross multiply
    12,321.86x = 18,492.52 × 5,744.66
  4. Step 4: Simplify right side
    12,321.86x = 106,233,239.94
  5. Step 5: Solve for x
    x = 106,233,239.94/12,321.86
  6. Step 6: Final answer
    x = 8,621.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.