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Finding the Fourth Proportional to 25,175.60, 37,764.24 and 7,645.38

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Solution

The fourth proportional to 25,175.60, 37,764.24 and 7,645.38 is: 11,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,175.60 : 37,764.24 = 7,645.38 : x
  2. Step 2: Convert to fraction form
    25,175.60/37,764.24 = 7,645.38/x
  3. Step 3: Cross multiply
    25,175.60x = 37,764.24 × 7,645.38
  4. Step 4: Simplify right side
    25,175.60x = 288,721,965.21
  5. Step 5: Solve for x
    x = 288,721,965.21/25,175.60
  6. Step 6: Final answer
    x = 11,468.33

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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.