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Finding the Fourth Proportional to 22,149.24, 30,565.50 and 12,213.24

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Solution

The fourth proportional to 22,149.24, 30,565.50 and 12,213.24 is: 16,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,149.24 : 30,565.50 = 12,213.24 : x
  2. Step 2: Convert to fraction form
    22,149.24/30,565.50 = 12,213.24/x
  3. Step 3: Cross multiply
    22,149.24x = 30,565.50 × 12,213.24
  4. Step 4: Simplify right side
    22,149.24x = 373,303,787.22
  5. Step 5: Solve for x
    x = 373,303,787.22/22,149.24
  6. Step 6: Final answer
    x = 16,854.02

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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.