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Finding the Fourth Proportional to 22,400.32, 30,911.78 and 12,191.02

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Solution

The fourth proportional to 22,400.32, 30,911.78 and 12,191.02 is: 16,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400.32 : 30,911.78 = 12,191.02 : x
  2. Step 2: Convert to fraction form
    22,400.32/30,911.78 = 12,191.02/x
  3. Step 3: Cross multiply
    22,400.32x = 30,911.78 × 12,191.02
  4. Step 4: Simplify right side
    22,400.32x = 376,846,128.22
  5. Step 5: Solve for x
    x = 376,846,128.22/22,400.32
  6. Step 6: Final answer
    x = 16,823.25

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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.