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Finding the Fourth Proportional to 12,171.63, 18,258.09 and 3,852.53

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Solution

The fourth proportional to 12,171.63, 18,258.09 and 3,852.53 is: 5,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.63 : 18,258.09 = 3,852.53 : x
  2. Step 2: Convert to fraction form
    12,171.63/18,258.09 = 3,852.53/x
  3. Step 3: Cross multiply
    12,171.63x = 18,258.09 × 3,852.53
  4. Step 4: Simplify right side
    12,171.63x = 70,339,748.18
  5. Step 5: Solve for x
    x = 70,339,748.18/12,171.63
  6. Step 6: Final answer
    x = 5,778.99

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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.