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Finding the Fourth Proportional to 25,596.37, 38,395.16 and 6,876.43

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Solution

The fourth proportional to 25,596.37, 38,395.16 and 6,876.43 is: 10,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596.37 : 38,395.16 = 6,876.43 : x
  2. Step 2: Convert to fraction form
    25,596.37/38,395.16 = 6,876.43/x
  3. Step 3: Cross multiply
    25,596.37x = 38,395.16 × 6,876.43
  4. Step 4: Simplify right side
    25,596.37x = 264,021,630.08
  5. Step 5: Solve for x
    x = 264,021,630.08/25,596.37
  6. Step 6: Final answer
    x = 10,314.81

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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.