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Finding the Fourth Proportional to 19,270.75, 28,906.35 and 7,575.77

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Solution

The fourth proportional to 19,270.75, 28,906.35 and 7,575.77 is: 11,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,270.75 : 28,906.35 = 7,575.77 : x
  2. Step 2: Convert to fraction form
    19,270.75/28,906.35 = 7,575.77/x
  3. Step 3: Cross multiply
    19,270.75x = 28,906.35 × 7,575.77
  4. Step 4: Simplify right side
    19,270.75x = 218,987,859.14
  5. Step 5: Solve for x
    x = 218,987,859.14/19,270.75
  6. Step 6: Final answer
    x = 11,363.74

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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.