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Finding the Fourth Proportional to 13,099.78, 19,630.44 and 8,154.34

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Solution

The fourth proportional to 13,099.78, 19,630.44 and 8,154.34 is: 12,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.78 : 19,630.44 = 8,154.34 : x
  2. Step 2: Convert to fraction form
    13,099.78/19,630.44 = 8,154.34/x
  3. Step 3: Cross multiply
    13,099.78x = 19,630.44 × 8,154.34
  4. Step 4: Simplify right side
    13,099.78x = 160,073,282.11
  5. Step 5: Solve for x
    x = 160,073,282.11/13,099.78
  6. Step 6: Final answer
    x = 12,219.54

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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.