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Finding the Fourth Proportional to 16,461.41, 22,727.13 and 11,424.02

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Solution

The fourth proportional to 16,461.41, 22,727.13 and 11,424.02 is: 15,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.41 : 22,727.13 = 11,424.02 : x
  2. Step 2: Convert to fraction form
    16,461.41/22,727.13 = 11,424.02/x
  3. Step 3: Cross multiply
    16,461.41x = 22,727.13 × 11,424.02
  4. Step 4: Simplify right side
    16,461.41x = 259,635,187.66
  5. Step 5: Solve for x
    x = 259,635,187.66/16,461.41
  6. Step 6: Final answer
    x = 15,772.35

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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.