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Finding the Fourth Proportional to 12,029.70, 18,032.40 and 5,460.60

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Solution

The fourth proportional to 12,029.70, 18,032.40 and 5,460.60 is: 8,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.70 : 18,032.40 = 5,460.60 : x
  2. Step 2: Convert to fraction form
    12,029.70/18,032.40 = 5,460.60/x
  3. Step 3: Cross multiply
    12,029.70x = 18,032.40 × 5,460.60
  4. Step 4: Simplify right side
    12,029.70x = 98,467,723.44
  5. Step 5: Solve for x
    x = 98,467,723.44/12,029.70
  6. Step 6: Final answer
    x = 8,185.38

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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.