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Finding the Fourth Proportional to 13,509.48, 18,642.05 and 8,132.20

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Solution

The fourth proportional to 13,509.48, 18,642.05 and 8,132.20 is: 11,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.48 : 18,642.05 = 8,132.20 : x
  2. Step 2: Convert to fraction form
    13,509.48/18,642.05 = 8,132.20/x
  3. Step 3: Cross multiply
    13,509.48x = 18,642.05 × 8,132.20
  4. Step 4: Simplify right side
    13,509.48x = 151,600,822.24
  5. Step 5: Solve for x
    x = 151,600,822.24/13,509.48
  6. Step 6: Final answer
    x = 11,221.81

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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.