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Finding the Fourth Proportional to 16,077.37, 22,186.25 and 8,906.99

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Solution

The fourth proportional to 16,077.37, 22,186.25 and 8,906.99 is: 12,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.37 : 22,186.25 = 8,906.99 : x
  2. Step 2: Convert to fraction form
    16,077.37/22,186.25 = 8,906.99/x
  3. Step 3: Cross multiply
    16,077.37x = 22,186.25 × 8,906.99
  4. Step 4: Simplify right side
    16,077.37x = 197,612,551.42
  5. Step 5: Solve for x
    x = 197,612,551.42/16,077.37
  6. Step 6: Final answer
    x = 12,291.35

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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.