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Finding the Fourth Proportional to 12,135.30, 16,744.24 and 9,305.86

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Solution

The fourth proportional to 12,135.30, 16,744.24 and 9,305.86 is: 12,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.30 : 16,744.24 = 9,305.86 : x
  2. Step 2: Convert to fraction form
    12,135.30/16,744.24 = 9,305.86/x
  3. Step 3: Cross multiply
    12,135.30x = 16,744.24 × 9,305.86
  4. Step 4: Simplify right side
    12,135.30x = 155,819,553.25
  5. Step 5: Solve for x
    x = 155,819,553.25/12,135.30
  6. Step 6: Final answer
    x = 12,840.19

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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.