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Finding the Fourth Proportional to 12,594.62, 18,863.21 and 6,025.46

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Solution

The fourth proportional to 12,594.62, 18,863.21 and 6,025.46 is: 9,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.62 : 18,863.21 = 6,025.46 : x
  2. Step 2: Convert to fraction form
    12,594.62/18,863.21 = 6,025.46/x
  3. Step 3: Cross multiply
    12,594.62x = 18,863.21 × 6,025.46
  4. Step 4: Simplify right side
    12,594.62x = 113,659,438.07
  5. Step 5: Solve for x
    x = 113,659,438.07/12,594.62
  6. Step 6: Final answer
    x = 9,024.44

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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.