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Finding the Fourth Proportional to 21,333.32, 32,004.10 and 8,184.67

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Solution

The fourth proportional to 21,333.32, 32,004.10 and 8,184.67 is: 12,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.32 : 32,004.10 = 8,184.67 : x
  2. Step 2: Convert to fraction form
    21,333.32/32,004.10 = 8,184.67/x
  3. Step 3: Cross multiply
    21,333.32x = 32,004.10 × 8,184.67
  4. Step 4: Simplify right side
    21,333.32x = 261,942,997.15
  5. Step 5: Solve for x
    x = 261,942,997.15/21,333.32
  6. Step 6: Final answer
    x = 12,278.59

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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.