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Finding the Fourth Proportional to 25,597.44, 38,396.40 and 7,129.44

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Solution

The fourth proportional to 25,597.44, 38,396.40 and 7,129.44 is: 10,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.44 : 38,396.40 = 7,129.44 : x
  2. Step 2: Convert to fraction form
    25,597.44/38,396.40 = 7,129.44/x
  3. Step 3: Cross multiply
    25,597.44x = 38,396.40 × 7,129.44
  4. Step 4: Simplify right side
    25,597.44x = 273,744,830.02
  5. Step 5: Solve for x
    x = 273,744,830.02/25,597.44
  6. Step 6: Final answer
    x = 10,694.23

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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.