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Finding the Fourth Proportional to 25,477.52, 38,193.24 and 9,057.68

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Solution

The fourth proportional to 25,477.52, 38,193.24 and 9,057.68 is: 13,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.52 : 38,193.24 = 9,057.68 : x
  2. Step 2: Convert to fraction form
    25,477.52/38,193.24 = 9,057.68/x
  3. Step 3: Cross multiply
    25,477.52x = 38,193.24 × 9,057.68
  4. Step 4: Simplify right side
    25,477.52x = 345,942,146.08
  5. Step 5: Solve for x
    x = 345,942,146.08/25,477.52
  6. Step 6: Final answer
    x = 13,578.33

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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.