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Finding the Fourth Proportional to 16,027.14, 22,110.25 and 9,309.12

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Solution

The fourth proportional to 16,027.14, 22,110.25 and 9,309.12 is: 12,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.14 : 22,110.25 = 9,309.12 : x
  2. Step 2: Convert to fraction form
    16,027.14/22,110.25 = 9,309.12/x
  3. Step 3: Cross multiply
    16,027.14x = 22,110.25 × 9,309.12
  4. Step 4: Simplify right side
    16,027.14x = 205,826,970.48
  5. Step 5: Solve for x
    x = 205,826,970.48/16,027.14
  6. Step 6: Final answer
    x = 12,842.40

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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.