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Finding the Fourth Proportional to 16,105.70, 22,225.79 and 9,032.12

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Solution

The fourth proportional to 16,105.70, 22,225.79 and 9,032.12 is: 12,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.70 : 22,225.79 = 9,032.12 : x
  2. Step 2: Convert to fraction form
    16,105.70/22,225.79 = 9,032.12/x
  3. Step 3: Cross multiply
    16,105.70x = 22,225.79 × 9,032.12
  4. Step 4: Simplify right side
    16,105.70x = 200,746,122.19
  5. Step 5: Solve for x
    x = 200,746,122.19/16,105.70
  6. Step 6: Final answer
    x = 12,464.29

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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.