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Finding the Fourth Proportional to 19,537.61, 29,307.77 and 7,850.82

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Solution

The fourth proportional to 19,537.61, 29,307.77 and 7,850.82 is: 11,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,537.61 : 29,307.77 = 7,850.82 : x
  2. Step 2: Convert to fraction form
    19,537.61/29,307.77 = 7,850.82/x
  3. Step 3: Cross multiply
    19,537.61x = 29,307.77 × 7,850.82
  4. Step 4: Simplify right side
    19,537.61x = 230,089,987.62
  5. Step 5: Solve for x
    x = 230,089,987.62/19,537.61
  6. Step 6: Final answer
    x = 11,776.78

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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.