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Finding the Fourth Proportional to 25,548.83, 38,329.01 and 7,781.09

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Solution

The fourth proportional to 25,548.83, 38,329.01 and 7,781.09 is: 11,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.83 : 38,329.01 = 7,781.09 : x
  2. Step 2: Convert to fraction form
    25,548.83/38,329.01 = 7,781.09/x
  3. Step 3: Cross multiply
    25,548.83x = 38,329.01 × 7,781.09
  4. Step 4: Simplify right side
    25,548.83x = 298,241,245.87
  5. Step 5: Solve for x
    x = 298,241,245.87/25,548.83
  6. Step 6: Final answer
    x = 11,673.38

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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.