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Finding the Fourth Proportional to 16,087.98, 22,201 and 9,014.86

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Solution

The fourth proportional to 16,087.98, 22,201 and 9,014.86 is: 12,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,087.98 : 22,201 = 9,014.86 : x
  2. Step 2: Convert to fraction form
    16,087.98/22,201 = 9,014.86/x
  3. Step 3: Cross multiply
    16,087.98x = 22,201 × 9,014.86
  4. Step 4: Simplify right side
    16,087.98x = 200,138,906.86
  5. Step 5: Solve for x
    x = 200,138,906.86/16,087.98
  6. Step 6: Final answer
    x = 12,440.28

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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.