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Finding the Fourth Proportional to 8,014.77, 12,022.16 and 2,172.24

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Solution

The fourth proportional to 8,014.77, 12,022.16 and 2,172.24 is: 3,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.77 : 12,022.16 = 2,172.24 : x
  2. Step 2: Convert to fraction form
    8,014.77/12,022.16 = 2,172.24/x
  3. Step 3: Cross multiply
    8,014.77x = 12,022.16 × 2,172.24
  4. Step 4: Simplify right side
    8,014.77x = 26,115,005.98
  5. Step 5: Solve for x
    x = 26,115,005.98/8,014.77
  6. Step 6: Final answer
    x = 3,258.36

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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.