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Finding the Fourth Proportional to 25,493.49, 38,245.64 and 7,964.64

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Solution

The fourth proportional to 25,493.49, 38,245.64 and 7,964.64 is: 11,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.49 : 38,245.64 = 7,964.64 : x
  2. Step 2: Convert to fraction form
    25,493.49/38,245.64 = 7,964.64/x
  3. Step 3: Cross multiply
    25,493.49x = 38,245.64 × 7,964.64
  4. Step 4: Simplify right side
    25,493.49x = 304,612,714.35
  5. Step 5: Solve for x
    x = 304,612,714.35/25,493.49
  6. Step 6: Final answer
    x = 11,948.65

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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.