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Finding the Fourth Proportional to 13,021.97, 19,484.55 and 7,759.80

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Solution

The fourth proportional to 13,021.97, 19,484.55 and 7,759.80 is: 11,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.97 : 19,484.55 = 7,759.80 : x
  2. Step 2: Convert to fraction form
    13,021.97/19,484.55 = 7,759.80/x
  3. Step 3: Cross multiply
    13,021.97x = 19,484.55 × 7,759.80
  4. Step 4: Simplify right side
    13,021.97x = 151,196,211.09
  5. Step 5: Solve for x
    x = 151,196,211.09/13,021.97
  6. Step 6: Final answer
    x = 11,610.86

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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.