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Finding the Fourth Proportional to 20,292.08, 30,447.84 and 9,202.16

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Solution

The fourth proportional to 20,292.08, 30,447.84 and 9,202.16 is: 13,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292.08 : 30,447.84 = 9,202.16 : x
  2. Step 2: Convert to fraction form
    20,292.08/30,447.84 = 9,202.16/x
  3. Step 3: Cross multiply
    20,292.08x = 30,447.84 × 9,202.16
  4. Step 4: Simplify right side
    20,292.08x = 280,185,895.33
  5. Step 5: Solve for x
    x = 280,185,895.33/20,292.08
  6. Step 6: Final answer
    x = 13,807.65

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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.