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Finding the Fourth Proportional to 12,105.60, 16,982.40 and 12,105.60

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Solution

The fourth proportional to 12,105.60, 16,982.40 and 12,105.60 is: 16,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.60 : 16,982.40 = 12,105.60 : x
  2. Step 2: Convert to fraction form
    12,105.60/16,982.40 = 12,105.60/x
  3. Step 3: Cross multiply
    12,105.60x = 16,982.40 × 12,105.60
  4. Step 4: Simplify right side
    12,105.60x = 205,582,141.44
  5. Step 5: Solve for x
    x = 205,582,141.44/12,105.60
  6. Step 6: Final answer
    x = 16,982.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.