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Finding the Fourth Proportional to 25,663.44, 38,491.96 and 7,196.88

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Solution

The fourth proportional to 25,663.44, 38,491.96 and 7,196.88 is: 10,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,663.44 : 38,491.96 = 7,196.88 : x
  2. Step 2: Convert to fraction form
    25,663.44/38,491.96 = 7,196.88/x
  3. Step 3: Cross multiply
    25,663.44x = 38,491.96 × 7,196.88
  4. Step 4: Simplify right side
    25,663.44x = 277,022,017.08
  5. Step 5: Solve for x
    x = 277,022,017.08/25,663.44
  6. Step 6: Final answer
    x = 10,794.42

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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.