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Finding the Fourth Proportional to 22,303.84, 33,433.92 and 12,447.84

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Solution

The fourth proportional to 22,303.84, 33,433.92 and 12,447.84 is: 18,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.84 : 33,433.92 = 12,447.84 : x
  2. Step 2: Convert to fraction form
    22,303.84/33,433.92 = 12,447.84/x
  3. Step 3: Cross multiply
    22,303.84x = 33,433.92 × 12,447.84
  4. Step 4: Simplify right side
    22,303.84x = 416,180,086.73
  5. Step 5: Solve for x
    x = 416,180,086.73/22,303.84
  6. Step 6: Final answer
    x = 18,659.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.