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Finding the Fourth Proportional to 22,267.76, 30,729.47 and 12,196.20

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Solution

The fourth proportional to 22,267.76, 30,729.47 and 12,196.20 is: 16,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.76 : 30,729.47 = 12,196.20 : x
  2. Step 2: Convert to fraction form
    22,267.76/30,729.47 = 12,196.20/x
  3. Step 3: Cross multiply
    22,267.76x = 30,729.47 × 12,196.20
  4. Step 4: Simplify right side
    22,267.76x = 374,782,816.27
  5. Step 5: Solve for x
    x = 374,782,816.27/22,267.76
  6. Step 6: Final answer
    x = 16,830.74

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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.