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Finding the Fourth Proportional to 21,334.22, 32,005.88 and 8,186.48

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Solution

The fourth proportional to 21,334.22, 32,005.88 and 8,186.48 is: 12,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.22 : 32,005.88 = 8,186.48 : x
  2. Step 2: Convert to fraction form
    21,334.22/32,005.88 = 8,186.48/x
  3. Step 3: Cross multiply
    21,334.22x = 32,005.88 × 8,186.48
  4. Step 4: Simplify right side
    21,334.22x = 262,015,496.50
  5. Step 5: Solve for x
    x = 262,015,496.50/21,334.22
  6. Step 6: Final answer
    x = 12,281.47

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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.