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Finding the Fourth Proportional to 22,213.89, 30,657.87 and 12,782.25

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Solution

The fourth proportional to 22,213.89, 30,657.87 and 12,782.25 is: 17,641.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.89 : 30,657.87 = 12,782.25 : x
  2. Step 2: Convert to fraction form
    22,213.89/30,657.87 = 12,782.25/x
  3. Step 3: Cross multiply
    22,213.89x = 30,657.87 × 12,782.25
  4. Step 4: Simplify right side
    22,213.89x = 391,876,558.81
  5. Step 5: Solve for x
    x = 391,876,558.81/22,213.89
  6. Step 6: Final answer
    x = 17,641.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.