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Finding the Fourth Proportional to 25,164.96, 37,744.24 and 8,524.32

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Solution

The fourth proportional to 25,164.96, 37,744.24 and 8,524.32 is: 12,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,164.96 : 37,744.24 = 8,524.32 : x
  2. Step 2: Convert to fraction form
    25,164.96/37,744.24 = 8,524.32/x
  3. Step 3: Cross multiply
    25,164.96x = 37,744.24 × 8,524.32
  4. Step 4: Simplify right side
    25,164.96x = 321,743,979.92
  5. Step 5: Solve for x
    x = 321,743,979.92/25,164.96
  6. Step 6: Final answer
    x = 12,785.40

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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.