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Finding the Fourth Proportional to 16,224.78, 24,339.64 and 6,864.80

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Solution

The fourth proportional to 16,224.78, 24,339.64 and 6,864.80 is: 10,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.78 : 24,339.64 = 6,864.80 : x
  2. Step 2: Convert to fraction form
    16,224.78/24,339.64 = 6,864.80/x
  3. Step 3: Cross multiply
    16,224.78x = 24,339.64 × 6,864.80
  4. Step 4: Simplify right side
    16,224.78x = 167,086,760.67
  5. Step 5: Solve for x
    x = 167,086,760.67/16,224.78
  6. Step 6: Final answer
    x = 10,298.25

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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.