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Finding the Fourth Proportional to 21,334.20, 32,005.76 and 8,186.49

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Solution

The fourth proportional to 21,334.20, 32,005.76 and 8,186.49 is: 12,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,334.20 : 32,005.76 = 8,186.49 : x
  2. Step 2: Convert to fraction form
    21,334.20/32,005.76 = 8,186.49/x
  3. Step 3: Cross multiply
    21,334.20x = 32,005.76 × 8,186.49
  4. Step 4: Simplify right side
    21,334.20x = 262,014,793.25
  5. Step 5: Solve for x
    x = 262,014,793.25/21,334.20
  6. Step 6: Final answer
    x = 12,281.44

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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.