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Finding the Fourth Proportional to 12,193.71, 18,295.85 and 4,301.87

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Solution

The fourth proportional to 12,193.71, 18,295.85 and 4,301.87 is: 6,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.71 : 18,295.85 = 4,301.87 : x
  2. Step 2: Convert to fraction form
    12,193.71/18,295.85 = 4,301.87/x
  3. Step 3: Cross multiply
    12,193.71x = 18,295.85 × 4,301.87
  4. Step 4: Simplify right side
    12,193.71x = 78,706,408.60
  5. Step 5: Solve for x
    x = 78,706,408.60/12,193.71
  6. Step 6: Final answer
    x = 6,454.67

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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.