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Finding the Fourth Proportional to 23,702, 35,550.16 and 6,173.20

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Solution

The fourth proportional to 23,702, 35,550.16 and 6,173.20 is: 9,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702 : 35,550.16 = 6,173.20 : x
  2. Step 2: Convert to fraction form
    23,702/35,550.16 = 6,173.20/x
  3. Step 3: Cross multiply
    23,702x = 35,550.16 × 6,173.20
  4. Step 4: Simplify right side
    23,702x = 219,458,247.71
  5. Step 5: Solve for x
    x = 219,458,247.71/23,702
  6. Step 6: Final answer
    x = 9,259.06

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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.