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Finding the Fourth Proportional to 12,129.48, 18,193.32 and 7,230.24

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Solution

The fourth proportional to 12,129.48, 18,193.32 and 7,230.24 is: 10,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.48 : 18,193.32 = 7,230.24 : x
  2. Step 2: Convert to fraction form
    12,129.48/18,193.32 = 7,230.24/x
  3. Step 3: Cross multiply
    12,129.48x = 18,193.32 × 7,230.24
  4. Step 4: Simplify right side
    12,129.48x = 131,542,070.00
  5. Step 5: Solve for x
    x = 131,542,070.00/12,129.48
  6. Step 6: Final answer
    x = 10,844.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.