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Finding the Fourth Proportional to 14,219.30, 21,333.50 and 6,824.34

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Solution

The fourth proportional to 14,219.30, 21,333.50 and 6,824.34 is: 10,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.30 : 21,333.50 = 6,824.34 : x
  2. Step 2: Convert to fraction form
    14,219.30/21,333.50 = 6,824.34/x
  3. Step 3: Cross multiply
    14,219.30x = 21,333.50 × 6,824.34
  4. Step 4: Simplify right side
    14,219.30x = 145,587,057.39
  5. Step 5: Solve for x
    x = 145,587,057.39/14,219.30
  6. Step 6: Final answer
    x = 10,238.69

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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.