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Finding the Fourth Proportional to 22,212.29, 33,314.10 and 6,416.21

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Solution

The fourth proportional to 22,212.29, 33,314.10 and 6,416.21 is: 9,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,212.29 : 33,314.10 = 6,416.21 : x
  2. Step 2: Convert to fraction form
    22,212.29/33,314.10 = 6,416.21/x
  3. Step 3: Cross multiply
    22,212.29x = 33,314.10 × 6,416.21
  4. Step 4: Simplify right side
    22,212.29x = 213,750,261.56
  5. Step 5: Solve for x
    x = 213,750,261.56/22,212.29
  6. Step 6: Final answer
    x = 9,623.06

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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.