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Finding the Fourth Proportional to 26,493.75, 39,740.72 and 8,025.75

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Solution

The fourth proportional to 26,493.75, 39,740.72 and 8,025.75 is: 12,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,493.75 : 39,740.72 = 8,025.75 : x
  2. Step 2: Convert to fraction form
    26,493.75/39,740.72 = 8,025.75/x
  3. Step 3: Cross multiply
    26,493.75x = 39,740.72 × 8,025.75
  4. Step 4: Simplify right side
    26,493.75x = 318,949,043.41
  5. Step 5: Solve for x
    x = 318,949,043.41/26,493.75
  6. Step 6: Final answer
    x = 12,038.65

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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.