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Finding the Fourth Proportional to 23,999.80, 35,982.62 and 9,196.20

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Solution

The fourth proportional to 23,999.80, 35,982.62 and 9,196.20 is: 13,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,999.80 : 35,982.62 = 9,196.20 : x
  2. Step 2: Convert to fraction form
    23,999.80/35,982.62 = 9,196.20/x
  3. Step 3: Cross multiply
    23,999.80x = 35,982.62 × 9,196.20
  4. Step 4: Simplify right side
    23,999.80x = 330,903,370.04
  5. Step 5: Solve for x
    x = 330,903,370.04/23,999.80
  6. Step 6: Final answer
    x = 13,787.76

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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.