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Finding the Fourth Proportional to 13,099.35, 19,610.42 and 8,648.85

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Solution

The fourth proportional to 13,099.35, 19,610.42 and 8,648.85 is: 12,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.35 : 19,610.42 = 8,648.85 : x
  2. Step 2: Convert to fraction form
    13,099.35/19,610.42 = 8,648.85/x
  3. Step 3: Cross multiply
    13,099.35x = 19,610.42 × 8,648.85
  4. Step 4: Simplify right side
    13,099.35x = 169,607,537.77
  5. Step 5: Solve for x
    x = 169,607,537.77/13,099.35
  6. Step 6: Final answer
    x = 12,947.78

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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.