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Finding the Fourth Proportional to 12,025.11, 16,594.18 and 6,989.09

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Solution

The fourth proportional to 12,025.11, 16,594.18 and 6,989.09 is: 9,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.11 : 16,594.18 = 6,989.09 : x
  2. Step 2: Convert to fraction form
    12,025.11/16,594.18 = 6,989.09/x
  3. Step 3: Cross multiply
    12,025.11x = 16,594.18 × 6,989.09
  4. Step 4: Simplify right side
    12,025.11x = 115,978,179.28
  5. Step 5: Solve for x
    x = 115,978,179.28/12,025.11
  6. Step 6: Final answer
    x = 9,644.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.