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Finding the Fourth Proportional to 12,091.60, 18,140.10 and 9,467.20

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Solution

The fourth proportional to 12,091.60, 18,140.10 and 9,467.20 is: 14,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.60 : 18,140.10 = 9,467.20 : x
  2. Step 2: Convert to fraction form
    12,091.60/18,140.10 = 9,467.20/x
  3. Step 3: Cross multiply
    12,091.60x = 18,140.10 × 9,467.20
  4. Step 4: Simplify right side
    12,091.60x = 171,735,954.72
  5. Step 5: Solve for x
    x = 171,735,954.72/12,091.60
  6. Step 6: Final answer
    x = 14,202.91

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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.