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Finding the Fourth Proportional to 13,578.54, 20,370.98 and 4,218.06

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Solution

The fourth proportional to 13,578.54, 20,370.98 and 4,218.06 is: 6,328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.54 : 20,370.98 = 4,218.06 : x
  2. Step 2: Convert to fraction form
    13,578.54/20,370.98 = 4,218.06/x
  3. Step 3: Cross multiply
    13,578.54x = 20,370.98 × 4,218.06
  4. Step 4: Simplify right side
    13,578.54x = 85,926,015.90
  5. Step 5: Solve for x
    x = 85,926,015.90/13,578.54
  6. Step 6: Final answer
    x = 6,328.07

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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.