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Finding the Fourth Proportional to 25,594.30, 38,396.85 and 8,065.36

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Solution

The fourth proportional to 25,594.30, 38,396.85 and 8,065.36 is: 12,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.30 : 38,396.85 = 8,065.36 : x
  2. Step 2: Convert to fraction form
    25,594.30/38,396.85 = 8,065.36/x
  3. Step 3: Cross multiply
    25,594.30x = 38,396.85 × 8,065.36
  4. Step 4: Simplify right side
    25,594.30x = 309,684,418.12
  5. Step 5: Solve for x
    x = 309,684,418.12/25,594.30
  6. Step 6: Final answer
    x = 12,099.74

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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.