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Finding the Fourth Proportional to 23,770, 35,627.16 and 8,173.84

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Solution

The fourth proportional to 23,770, 35,627.16 and 8,173.84 is: 12,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770 : 35,627.16 = 8,173.84 : x
  2. Step 2: Convert to fraction form
    23,770/35,627.16 = 8,173.84/x
  3. Step 3: Cross multiply
    23,770x = 35,627.16 × 8,173.84
  4. Step 4: Simplify right side
    23,770x = 291,210,705.49
  5. Step 5: Solve for x
    x = 291,210,705.49/23,770
  6. Step 6: Final answer
    x = 12,251.19

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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.