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Finding the Fourth Proportional to 23,587.39, 35,375.41 and 6,942.90

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Solution

The fourth proportional to 23,587.39, 35,375.41 and 6,942.90 is: 10,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587.39 : 35,375.41 = 6,942.90 : x
  2. Step 2: Convert to fraction form
    23,587.39/35,375.41 = 6,942.90/x
  3. Step 3: Cross multiply
    23,587.39x = 35,375.41 × 6,942.90
  4. Step 4: Simplify right side
    23,587.39x = 245,607,934.09
  5. Step 5: Solve for x
    x = 245,607,934.09/23,587.39
  6. Step 6: Final answer
    x = 10,412.68

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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.