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Finding the Fourth Proportional to 22,496.97, 31,046.05 and 12,425.66

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Solution

The fourth proportional to 22,496.97, 31,046.05 and 12,425.66 is: 17,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.97 : 31,046.05 = 12,425.66 : x
  2. Step 2: Convert to fraction form
    22,496.97/31,046.05 = 12,425.66/x
  3. Step 3: Cross multiply
    22,496.97x = 31,046.05 × 12,425.66
  4. Step 4: Simplify right side
    22,496.97x = 385,767,661.64
  5. Step 5: Solve for x
    x = 385,767,661.64/22,496.97
  6. Step 6: Final answer
    x = 17,147.54

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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.