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Finding the Fourth Proportional to 20,185.31, 30,277.98 and 9,652.85

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Solution

The fourth proportional to 20,185.31, 30,277.98 and 9,652.85 is: 14,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.31 : 30,277.98 = 9,652.85 : x
  2. Step 2: Convert to fraction form
    20,185.31/30,277.98 = 9,652.85/x
  3. Step 3: Cross multiply
    20,185.31x = 30,277.98 × 9,652.85
  4. Step 4: Simplify right side
    20,185.31x = 292,268,647.85
  5. Step 5: Solve for x
    x = 292,268,647.85/20,185.31
  6. Step 6: Final answer
    x = 14,479.27

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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.