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Finding the Fourth Proportional to 22,205.98, 30,646.38 and 12,135.96

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Solution

The fourth proportional to 22,205.98, 30,646.38 and 12,135.96 is: 16,748.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.98 : 30,646.38 = 12,135.96 : x
  2. Step 2: Convert to fraction form
    22,205.98/30,646.38 = 12,135.96/x
  3. Step 3: Cross multiply
    22,205.98x = 30,646.38 × 12,135.96
  4. Step 4: Simplify right side
    22,205.98x = 371,923,088.59
  5. Step 5: Solve for x
    x = 371,923,088.59/22,205.98
  6. Step 6: Final answer
    x = 16,748.78

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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.