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Finding the Fourth Proportional to 12,152.47, 18,231.14 and 3,833.77

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Solution

The fourth proportional to 12,152.47, 18,231.14 and 3,833.77 is: 5,751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.47 : 18,231.14 = 3,833.77 : x
  2. Step 2: Convert to fraction form
    12,152.47/18,231.14 = 3,833.77/x
  3. Step 3: Cross multiply
    12,152.47x = 18,231.14 × 3,833.77
  4. Step 4: Simplify right side
    12,152.47x = 69,893,997.60
  5. Step 5: Solve for x
    x = 69,893,997.60/12,152.47
  6. Step 6: Final answer
    x = 5,751.42

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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.