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Finding the Fourth Proportional to 13,028.50, 19,568.99 and 7,773.78

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Solution

The fourth proportional to 13,028.50, 19,568.99 and 7,773.78 is: 11,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.50 : 19,568.99 = 7,773.78 : x
  2. Step 2: Convert to fraction form
    13,028.50/19,568.99 = 7,773.78/x
  3. Step 3: Cross multiply
    13,028.50x = 19,568.99 × 7,773.78
  4. Step 4: Simplify right side
    13,028.50x = 152,125,023.08
  5. Step 5: Solve for x
    x = 152,125,023.08/13,028.50
  6. Step 6: Final answer
    x = 11,676.33

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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.