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Finding the Fourth Proportional to 16,297.43, 22,490.78 and 12,716.46

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Solution

The fourth proportional to 16,297.43, 22,490.78 and 12,716.46 is: 17,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.43 : 22,490.78 = 12,716.46 : x
  2. Step 2: Convert to fraction form
    16,297.43/22,490.78 = 12,716.46/x
  3. Step 3: Cross multiply
    16,297.43x = 22,490.78 × 12,716.46
  4. Step 4: Simplify right side
    16,297.43x = 286,003,040.66
  5. Step 5: Solve for x
    x = 286,003,040.66/16,297.43
  6. Step 6: Final answer
    x = 17,548.97

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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.