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Finding the Fourth Proportional to 22,481.97, 31,024.74 and 12,410.15

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Solution

The fourth proportional to 22,481.97, 31,024.74 and 12,410.15 is: 17,125.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.97 : 31,024.74 = 12,410.15 : x
  2. Step 2: Convert to fraction form
    22,481.97/31,024.74 = 12,410.15/x
  3. Step 3: Cross multiply
    22,481.97x = 31,024.74 × 12,410.15
  4. Step 4: Simplify right side
    22,481.97x = 385,021,521.99
  5. Step 5: Solve for x
    x = 385,021,521.99/22,481.97
  6. Step 6: Final answer
    x = 17,125.79

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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.