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Finding the Fourth Proportional to 25,811.66, 38,714.49 and 8,043.64

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Solution

The fourth proportional to 25,811.66, 38,714.49 and 8,043.64 is: 12,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,811.66 : 38,714.49 = 8,043.64 : x
  2. Step 2: Convert to fraction form
    25,811.66/38,714.49 = 8,043.64/x
  3. Step 3: Cross multiply
    25,811.66x = 38,714.49 × 8,043.64
  4. Step 4: Simplify right side
    25,811.66x = 311,405,323.56
  5. Step 5: Solve for x
    x = 311,405,323.56/25,811.66
  6. Step 6: Final answer
    x = 12,064.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.