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Finding the Fourth Proportional to 20,135.68, 30,203.04 and 6,284.32

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Solution

The fourth proportional to 20,135.68, 30,203.04 and 6,284.32 is: 9,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.68 : 30,203.04 = 6,284.32 : x
  2. Step 2: Convert to fraction form
    20,135.68/30,203.04 = 6,284.32/x
  3. Step 3: Cross multiply
    20,135.68x = 30,203.04 × 6,284.32
  4. Step 4: Simplify right side
    20,135.68x = 189,805,568.33
  5. Step 5: Solve for x
    x = 189,805,568.33/20,135.68
  6. Step 6: Final answer
    x = 9,426.33

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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.