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Finding the Fourth Proportional to 25,578.55, 38,403.72 and 13,107.54

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Solution

The fourth proportional to 25,578.55, 38,403.72 and 13,107.54 is: 19,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.55 : 38,403.72 = 13,107.54 : x
  2. Step 2: Convert to fraction form
    25,578.55/38,403.72 = 13,107.54/x
  3. Step 3: Cross multiply
    25,578.55x = 38,403.72 × 13,107.54
  4. Step 4: Simplify right side
    25,578.55x = 503,378,296.05
  5. Step 5: Solve for x
    x = 503,378,296.05/25,578.55
  6. Step 6: Final answer
    x = 19,679.70

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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.