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Finding the Fourth Proportional to 22,250.50, 30,705.72 and 13,867

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Solution

The fourth proportional to 22,250.50, 30,705.72 and 13,867 is: 19,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,250.50 : 30,705.72 = 13,867 : x
  2. Step 2: Convert to fraction form
    22,250.50/30,705.72 = 13,867/x
  3. Step 3: Cross multiply
    22,250.50x = 30,705.72 × 13,867
  4. Step 4: Simplify right side
    22,250.50x = 425,796,219.24
  5. Step 5: Solve for x
    x = 425,796,219.24/22,250.50
  6. Step 6: Final answer
    x = 19,136.48

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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.