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Finding the Fourth Proportional to 25,874.24, 38,810.34 and 8,344.62

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Solution

The fourth proportional to 25,874.24, 38,810.34 and 8,344.62 is: 12,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.24 : 38,810.34 = 8,344.62 : x
  2. Step 2: Convert to fraction form
    25,874.24/38,810.34 = 8,344.62/x
  3. Step 3: Cross multiply
    25,874.24x = 38,810.34 × 8,344.62
  4. Step 4: Simplify right side
    25,874.24x = 323,857,539.37
  5. Step 5: Solve for x
    x = 323,857,539.37/25,874.24
  6. Step 6: Final answer
    x = 12,516.60

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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.