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Finding the Fourth Proportional to 20,298.36, 30,441.06 and 6,444.12

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Solution

The fourth proportional to 20,298.36, 30,441.06 and 6,444.12 is: 9,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.36 : 30,441.06 = 6,444.12 : x
  2. Step 2: Convert to fraction form
    20,298.36/30,441.06 = 6,444.12/x
  3. Step 3: Cross multiply
    20,298.36x = 30,441.06 × 6,444.12
  4. Step 4: Simplify right side
    20,298.36x = 196,165,843.57
  5. Step 5: Solve for x
    x = 196,165,843.57/20,298.36
  6. Step 6: Final answer
    x = 9,664.12

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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.