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Finding the Fourth Proportional to 13,902.16, 20,841.02 and 7,224.60

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Solution

The fourth proportional to 13,902.16, 20,841.02 and 7,224.60 is: 10,830.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.16 : 20,841.02 = 7,224.60 : x
  2. Step 2: Convert to fraction form
    13,902.16/20,841.02 = 7,224.60/x
  3. Step 3: Cross multiply
    13,902.16x = 20,841.02 × 7,224.60
  4. Step 4: Simplify right side
    13,902.16x = 150,568,051.15
  5. Step 5: Solve for x
    x = 150,568,051.15/13,902.16
  6. Step 6: Final answer
    x = 10,830.55

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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.