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Finding the Fourth Proportional to 22,267.86, 30,729.65 and 12,196.33

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Solution

The fourth proportional to 22,267.86, 30,729.65 and 12,196.33 is: 16,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.86 : 30,729.65 = 12,196.33 : x
  2. Step 2: Convert to fraction form
    22,267.86/30,729.65 = 12,196.33/x
  3. Step 3: Cross multiply
    22,267.86x = 30,729.65 × 12,196.33
  4. Step 4: Simplify right side
    22,267.86x = 374,788,952.18
  5. Step 5: Solve for x
    x = 374,788,952.18/22,267.86
  6. Step 6: Final answer
    x = 16,830.94

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