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Finding the Fourth Proportional to 21,781.47, 32,674.91 and 6,200.31

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Solution

The fourth proportional to 21,781.47, 32,674.91 and 6,200.31 is: 9,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.47 : 32,674.91 = 6,200.31 : x
  2. Step 2: Convert to fraction form
    21,781.47/32,674.91 = 6,200.31/x
  3. Step 3: Cross multiply
    21,781.47x = 32,674.91 × 6,200.31
  4. Step 4: Simplify right side
    21,781.47x = 202,594,540.22
  5. Step 5: Solve for x
    x = 202,594,540.22/21,781.47
  6. Step 6: Final answer
    x = 9,301.23

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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.