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Finding the Fourth Proportional to 25,834.20, 38,762.10 and 8,309.40

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Solution

The fourth proportional to 25,834.20, 38,762.10 and 8,309.40 is: 12,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834.20 : 38,762.10 = 8,309.40 : x
  2. Step 2: Convert to fraction form
    25,834.20/38,762.10 = 8,309.40/x
  3. Step 3: Cross multiply
    25,834.20x = 38,762.10 × 8,309.40
  4. Step 4: Simplify right side
    25,834.20x = 322,089,793.74
  5. Step 5: Solve for x
    x = 322,089,793.74/25,834.20
  6. Step 6: Final answer
    x = 12,467.57

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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.