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Finding the Fourth Proportional to 13,301.76, 18,357.84 and 8,269.20

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Solution

The fourth proportional to 13,301.76, 18,357.84 and 8,269.20 is: 11,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.76 : 18,357.84 = 8,269.20 : x
  2. Step 2: Convert to fraction form
    13,301.76/18,357.84 = 8,269.20/x
  3. Step 3: Cross multiply
    13,301.76x = 18,357.84 × 8,269.20
  4. Step 4: Simplify right side
    13,301.76x = 151,804,650.53
  5. Step 5: Solve for x
    x = 151,804,650.53/13,301.76
  6. Step 6: Final answer
    x = 11,412.37

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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.