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Finding the Fourth Proportional to 13,669.28, 18,865 and 8,367.60

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Solution

The fourth proportional to 13,669.28, 18,865 and 8,367.60 is: 11,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.28 : 18,865 = 8,367.60 : x
  2. Step 2: Convert to fraction form
    13,669.28/18,865 = 8,367.60/x
  3. Step 3: Cross multiply
    13,669.28x = 18,865 × 8,367.60
  4. Step 4: Simplify right side
    13,669.28x = 157,854,774
  5. Step 5: Solve for x
    x = 157,854,774/13,669.28
  6. Step 6: Final answer
    x = 11,548.14

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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.