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Finding the Fourth Proportional to 16,050.98, 22,151.07 and 8,977.39

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Solution

The fourth proportional to 16,050.98, 22,151.07 and 8,977.39 is: 12,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,050.98 : 22,151.07 = 8,977.39 : x
  2. Step 2: Convert to fraction form
    16,050.98/22,151.07 = 8,977.39/x
  3. Step 3: Cross multiply
    16,050.98x = 22,151.07 × 8,977.39
  4. Step 4: Simplify right side
    16,050.98x = 198,858,738.93
  5. Step 5: Solve for x
    x = 198,858,738.93/16,050.98
  6. Step 6: Final answer
    x = 12,389.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.