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Finding the Fourth Proportional to 22,293.86, 30,766.30 and 12,222.32

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Solution

The fourth proportional to 22,293.86, 30,766.30 and 12,222.32 is: 16,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,293.86 : 30,766.30 = 12,222.32 : x
  2. Step 2: Convert to fraction form
    22,293.86/30,766.30 = 12,222.32/x
  3. Step 3: Cross multiply
    22,293.86x = 30,766.30 × 12,222.32
  4. Step 4: Simplify right side
    22,293.86x = 376,035,379.43
  5. Step 5: Solve for x
    x = 376,035,379.43/22,293.86
  6. Step 6: Final answer
    x = 16,867.22

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1.5x scale

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.