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Finding the Fourth Proportional to 20,382.88, 30,531.06 and 9,837.40

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Solution

The fourth proportional to 20,382.88, 30,531.06 and 9,837.40 is: 14,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.88 : 30,531.06 = 9,837.40 : x
  2. Step 2: Convert to fraction form
    20,382.88/30,531.06 = 9,837.40/x
  3. Step 3: Cross multiply
    20,382.88x = 30,531.06 × 9,837.40
  4. Step 4: Simplify right side
    20,382.88x = 300,346,249.64
  5. Step 5: Solve for x
    x = 300,346,249.64/20,382.88
  6. Step 6: Final answer
    x = 14,735.22

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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.