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Finding the Fourth Proportional to 16,364.24, 22,582.44 and 8,912.24

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Solution

The fourth proportional to 16,364.24, 22,582.44 and 8,912.24 is: 12,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.24 : 22,582.44 = 8,912.24 : x
  2. Step 2: Convert to fraction form
    16,364.24/22,582.44 = 8,912.24/x
  3. Step 3: Cross multiply
    16,364.24x = 22,582.44 × 8,912.24
  4. Step 4: Simplify right side
    16,364.24x = 201,260,125.07
  5. Step 5: Solve for x
    x = 201,260,125.07/16,364.24
  6. Step 6: Final answer
    x = 12,298.78

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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.