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Finding the Fourth Proportional to 13,578.64, 20,369.48 and 4,216.46

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Solution

The fourth proportional to 13,578.64, 20,369.48 and 4,216.46 is: 6,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.64 : 20,369.48 = 4,216.46 : x
  2. Step 2: Convert to fraction form
    13,578.64/20,369.48 = 4,216.46/x
  3. Step 3: Cross multiply
    13,578.64x = 20,369.48 × 4,216.46
  4. Step 4: Simplify right side
    13,578.64x = 85,886,974.71
  5. Step 5: Solve for x
    x = 85,886,974.71/13,578.64
  6. Step 6: Final answer
    x = 6,325.15

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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.