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Finding the Fourth Proportional to 23,657.37, 35,480.94 and 9,613.80

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Solution

The fourth proportional to 23,657.37, 35,480.94 and 9,613.80 is: 14,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.37 : 35,480.94 = 9,613.80 : x
  2. Step 2: Convert to fraction form
    23,657.37/35,480.94 = 9,613.80/x
  3. Step 3: Cross multiply
    23,657.37x = 35,480.94 × 9,613.80
  4. Step 4: Simplify right side
    23,657.37x = 341,106,660.97
  5. Step 5: Solve for x
    x = 341,106,660.97/23,657.37
  6. Step 6: Final answer
    x = 14,418.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.