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Finding the Fourth Proportional to 21,336.56, 32,014.07 and 8,185.86

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Solution

The fourth proportional to 21,336.56, 32,014.07 and 8,185.86 is: 12,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,336.56 : 32,014.07 = 8,185.86 : x
  2. Step 2: Convert to fraction form
    21,336.56/32,014.07 = 8,185.86/x
  3. Step 3: Cross multiply
    21,336.56x = 32,014.07 × 8,185.86
  4. Step 4: Simplify right side
    21,336.56x = 262,062,684.82
  5. Step 5: Solve for x
    x = 262,062,684.82/21,336.56
  6. Step 6: Final answer
    x = 12,282.33

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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.