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Finding the Fourth Proportional to 23,942.32, 35,913.49 and 6,411.70

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Solution

The fourth proportional to 23,942.32, 35,913.49 and 6,411.70 is: 9,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,942.32 : 35,913.49 = 6,411.70 : x
  2. Step 2: Convert to fraction form
    23,942.32/35,913.49 = 6,411.70/x
  3. Step 3: Cross multiply
    23,942.32x = 35,913.49 × 6,411.70
  4. Step 4: Simplify right side
    23,942.32x = 230,266,523.83
  5. Step 5: Solve for x
    x = 230,266,523.83/23,942.32
  6. Step 6: Final answer
    x = 9,617.55

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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.