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Finding the Fourth Proportional to 16,661.86, 24,989.10 and 4,813.06

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Solution

The fourth proportional to 16,661.86, 24,989.10 and 4,813.06 is: 7,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.86 : 24,989.10 = 4,813.06 : x
  2. Step 2: Convert to fraction form
    16,661.86/24,989.10 = 4,813.06/x
  3. Step 3: Cross multiply
    16,661.86x = 24,989.10 × 4,813.06
  4. Step 4: Simplify right side
    16,661.86x = 120,273,912.70
  5. Step 5: Solve for x
    x = 120,273,912.70/16,661.86
  6. Step 6: Final answer
    x = 7,218.52

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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.