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Finding the Fourth Proportional to 12,105.60, 18,109.80 and 10,480.20

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Solution

The fourth proportional to 12,105.60, 18,109.80 and 10,480.20 is: 15,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.60 : 18,109.80 = 10,480.20 : x
  2. Step 2: Convert to fraction form
    12,105.60/18,109.80 = 10,480.20/x
  3. Step 3: Cross multiply
    12,105.60x = 18,109.80 × 10,480.20
  4. Step 4: Simplify right side
    12,105.60x = 189,794,325.96
  5. Step 5: Solve for x
    x = 189,794,325.96/12,105.60
  6. Step 6: Final answer
    x = 15,678.23

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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.