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Finding the Fourth Proportional to 25,674.42, 38,495.34 and 9,879.42

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Solution

The fourth proportional to 25,674.42, 38,495.34 and 9,879.42 is: 14,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.42 : 38,495.34 = 9,879.42 : x
  2. Step 2: Convert to fraction form
    25,674.42/38,495.34 = 9,879.42/x
  3. Step 3: Cross multiply
    25,674.42x = 38,495.34 × 9,879.42
  4. Step 4: Simplify right side
    25,674.42x = 380,311,631.90
  5. Step 5: Solve for x
    x = 380,311,631.90/25,674.42
  6. Step 6: Final answer
    x = 14,812.86

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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.