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Finding the Fourth Proportional to 22,353.60, 30,844.61 and 12,282.47

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Solution

The fourth proportional to 22,353.60, 30,844.61 and 12,282.47 is: 16,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,353.60 : 30,844.61 = 12,282.47 : x
  2. Step 2: Convert to fraction form
    22,353.60/30,844.61 = 12,282.47/x
  3. Step 3: Cross multiply
    22,353.60x = 30,844.61 × 12,282.47
  4. Step 4: Simplify right side
    22,353.60x = 378,847,842.76
  5. Step 5: Solve for x
    x = 378,847,842.76/22,353.60
  6. Step 6: Final answer
    x = 16,947.96

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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.