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Finding the Fourth Proportional to 16,109.60, 22,230.60 and 9,036.14

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Solution

The fourth proportional to 16,109.60, 22,230.60 and 9,036.14 is: 12,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.60 : 22,230.60 = 9,036.14 : x
  2. Step 2: Convert to fraction form
    16,109.60/22,230.60 = 9,036.14/x
  3. Step 3: Cross multiply
    16,109.60x = 22,230.60 × 9,036.14
  4. Step 4: Simplify right side
    16,109.60x = 200,878,813.88
  5. Step 5: Solve for x
    x = 200,878,813.88/16,109.60
  6. Step 6: Final answer
    x = 12,469.51

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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.