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Finding the Fourth Proportional to 12,173.83, 18,258.92 and 3,852.77

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Solution

The fourth proportional to 12,173.83, 18,258.92 and 3,852.77 is: 5,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.83 : 18,258.92 = 3,852.77 : x
  2. Step 2: Convert to fraction form
    12,173.83/18,258.92 = 3,852.77/x
  3. Step 3: Cross multiply
    12,173.83x = 18,258.92 × 3,852.77
  4. Step 4: Simplify right side
    12,173.83x = 70,347,399.94
  5. Step 5: Solve for x
    x = 70,347,399.94/12,173.83
  6. Step 6: Final answer
    x = 5,778.57

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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.