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Finding the Fourth Proportional to 23,382.68, 35,079.36 and 6,742.84

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Solution

The fourth proportional to 23,382.68, 35,079.36 and 6,742.84 is: 10,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,382.68 : 35,079.36 = 6,742.84 : x
  2. Step 2: Convert to fraction form
    23,382.68/35,079.36 = 6,742.84/x
  3. Step 3: Cross multiply
    23,382.68x = 35,079.36 × 6,742.84
  4. Step 4: Simplify right side
    23,382.68x = 236,534,511.78
  5. Step 5: Solve for x
    x = 236,534,511.78/23,382.68
  6. Step 6: Final answer
    x = 10,115.80

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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.