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Finding the Fourth Proportional to 13,578.84, 20,367.32 and 4,218.64

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Solution

The fourth proportional to 13,578.84, 20,367.32 and 4,218.64 is: 6,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.84 : 20,367.32 = 4,218.64 : x
  2. Step 2: Convert to fraction form
    13,578.84/20,367.32 = 4,218.64/x
  3. Step 3: Cross multiply
    13,578.84x = 20,367.32 × 4,218.64
  4. Step 4: Simplify right side
    13,578.84x = 85,922,390.84
  5. Step 5: Solve for x
    x = 85,922,390.84/13,578.84
  6. Step 6: Final answer
    x = 6,327.67

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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.