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Finding the Fourth Proportional to 22,481.66, 31,024.51 and 12,410.09

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Solution

The fourth proportional to 22,481.66, 31,024.51 and 12,410.09 is: 17,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.66 : 31,024.51 = 12,410.09 : x
  2. Step 2: Convert to fraction form
    22,481.66/31,024.51 = 12,410.09/x
  3. Step 3: Cross multiply
    22,481.66x = 31,024.51 × 12,410.09
  4. Step 4: Simplify right side
    22,481.66x = 385,017,007.84
  5. Step 5: Solve for x
    x = 385,017,007.84/22,481.66
  6. Step 6: Final answer
    x = 17,125.83

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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.