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Finding the Fourth Proportional to 16,552.70, 24,828.83 and 7,781.41

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Solution

The fourth proportional to 16,552.70, 24,828.83 and 7,781.41 is: 11,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.70 : 24,828.83 = 7,781.41 : x
  2. Step 2: Convert to fraction form
    16,552.70/24,828.83 = 7,781.41/x
  3. Step 3: Cross multiply
    16,552.70x = 24,828.83 × 7,781.41
  4. Step 4: Simplify right side
    16,552.70x = 193,203,306.05
  5. Step 5: Solve for x
    x = 193,203,306.05/16,552.70
  6. Step 6: Final answer
    x = 11,672.01

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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.