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Finding the Fourth Proportional to 25,674.30, 38,514.45 and 8,145.90

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Solution

The fourth proportional to 25,674.30, 38,514.45 and 8,145.90 is: 12,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.30 : 38,514.45 = 8,145.90 : x
  2. Step 2: Convert to fraction form
    25,674.30/38,514.45 = 8,145.90/x
  3. Step 3: Cross multiply
    25,674.30x = 38,514.45 × 8,145.90
  4. Step 4: Simplify right side
    25,674.30x = 313,734,858.26
  5. Step 5: Solve for x
    x = 313,734,858.26/25,674.30
  6. Step 6: Final answer
    x = 12,219.80

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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.