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Finding the Fourth Proportional to 23,780.64, 35,674.56 and 8,194.56

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Solution

The fourth proportional to 23,780.64, 35,674.56 and 8,194.56 is: 12,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.64 : 35,674.56 = 8,194.56 : x
  2. Step 2: Convert to fraction form
    23,780.64/35,674.56 = 8,194.56/x
  3. Step 3: Cross multiply
    23,780.64x = 35,674.56 × 8,194.56
  4. Step 4: Simplify right side
    23,780.64x = 292,337,322.39
  5. Step 5: Solve for x
    x = 292,337,322.39/23,780.64
  6. Step 6: Final answer
    x = 12,293.08

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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.