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Finding the Fourth Proportional to 23,757.74, 35,623.38 and 9,727.60

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Solution

The fourth proportional to 23,757.74, 35,623.38 and 9,727.60 is: 14,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757.74 : 35,623.38 = 9,727.60 : x
  2. Step 2: Convert to fraction form
    23,757.74/35,623.38 = 9,727.60/x
  3. Step 3: Cross multiply
    23,757.74x = 35,623.38 × 9,727.60
  4. Step 4: Simplify right side
    23,757.74x = 346,529,991.29
  5. Step 5: Solve for x
    x = 346,529,991.29/23,757.74
  6. Step 6: Final answer
    x = 14,585.98

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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.