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Finding the Fourth Proportional to 13,309.77, 18,365.52 and 7,644.78

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Solution

The fourth proportional to 13,309.77, 18,365.52 and 7,644.78 is: 10,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.77 : 18,365.52 = 7,644.78 : x
  2. Step 2: Convert to fraction form
    13,309.77/18,365.52 = 7,644.78/x
  3. Step 3: Cross multiply
    13,309.77x = 18,365.52 × 7,644.78
  4. Step 4: Simplify right side
    13,309.77x = 140,400,359.99
  5. Step 5: Solve for x
    x = 140,400,359.99/13,309.77
  6. Step 6: Final answer
    x = 10,548.67

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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.