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Finding the Fourth Proportional to 19,743.08, 29,612.46 and 5,891

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Solution

The fourth proportional to 19,743.08, 29,612.46 and 5,891 is: 8,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,743.08 : 29,612.46 = 5,891 : x
  2. Step 2: Convert to fraction form
    19,743.08/29,612.46 = 5,891/x
  3. Step 3: Cross multiply
    19,743.08x = 29,612.46 × 5,891
  4. Step 4: Simplify right side
    19,743.08x = 174,447,001.86
  5. Step 5: Solve for x
    x = 174,447,001.86/19,743.08
  6. Step 6: Final answer
    x = 8,835.86

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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.