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Finding the Fourth Proportional to 22,782.72, 34,181.78 and 14,355.56

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Solution

The fourth proportional to 22,782.72, 34,181.78 and 14,355.56 is: 21,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.72 : 34,181.78 = 14,355.56 : x
  2. Step 2: Convert to fraction form
    22,782.72/34,181.78 = 14,355.56/x
  3. Step 3: Cross multiply
    22,782.72x = 34,181.78 × 14,355.56
  4. Step 4: Simplify right side
    22,782.72x = 490,698,593.70
  5. Step 5: Solve for x
    x = 490,698,593.70/22,782.72
  6. Step 6: Final answer
    x = 21,538.19

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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.