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Finding the Fourth Proportional to 13,669.37, 18,864.54 and 8,365.22

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Solution

The fourth proportional to 13,669.37, 18,864.54 and 8,365.22 is: 11,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.37 : 18,864.54 = 8,365.22 : x
  2. Step 2: Convert to fraction form
    13,669.37/18,864.54 = 8,365.22/x
  3. Step 3: Cross multiply
    13,669.37x = 18,864.54 × 8,365.22
  4. Step 4: Simplify right side
    13,669.37x = 157,806,027.30
  5. Step 5: Solve for x
    x = 157,806,027.30/13,669.37
  6. Step 6: Final answer
    x = 11,544.50

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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.