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Finding the Fourth Proportional to 16,186.23, 22,336.86 and 9,016.06

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Solution

The fourth proportional to 16,186.23, 22,336.86 and 9,016.06 is: 12,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.23 : 22,336.86 = 9,016.06 : x
  2. Step 2: Convert to fraction form
    16,186.23/22,336.86 = 9,016.06/x
  3. Step 3: Cross multiply
    16,186.23x = 22,336.86 × 9,016.06
  4. Step 4: Simplify right side
    16,186.23x = 201,390,489.82
  5. Step 5: Solve for x
    x = 201,390,489.82/16,186.23
  6. Step 6: Final answer
    x = 12,442.09

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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.