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Finding the Fourth Proportional to 13,129.75, 18,117.44 and 8,027.83

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Solution

The fourth proportional to 13,129.75, 18,117.44 and 8,027.83 is: 11,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.75 : 18,117.44 = 8,027.83 : x
  2. Step 2: Convert to fraction form
    13,129.75/18,117.44 = 8,027.83/x
  3. Step 3: Cross multiply
    13,129.75x = 18,117.44 × 8,027.83
  4. Step 4: Simplify right side
    13,129.75x = 145,443,688.22
  5. Step 5: Solve for x
    x = 145,443,688.22/13,129.75
  6. Step 6: Final answer
    x = 11,077.41

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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.