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Finding the Fourth Proportional to 16,180.52, 24,270.84 and 9,612.23

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Solution

The fourth proportional to 16,180.52, 24,270.84 and 9,612.23 is: 14,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.52 : 24,270.84 = 9,612.23 : x
  2. Step 2: Convert to fraction form
    16,180.52/24,270.84 = 9,612.23/x
  3. Step 3: Cross multiply
    16,180.52x = 24,270.84 × 9,612.23
  4. Step 4: Simplify right side
    16,180.52x = 233,296,775.02
  5. Step 5: Solve for x
    x = 233,296,775.02/16,180.52
  6. Step 6: Final answer
    x = 14,418.38

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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.