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Finding the Fourth Proportional to 13,967.02, 20,951.34 and 3,578.50

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Solution

The fourth proportional to 13,967.02, 20,951.34 and 3,578.50 is: 5,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.02 : 20,951.34 = 3,578.50 : x
  2. Step 2: Convert to fraction form
    13,967.02/20,951.34 = 3,578.50/x
  3. Step 3: Cross multiply
    13,967.02x = 20,951.34 × 3,578.50
  4. Step 4: Simplify right side
    13,967.02x = 74,974,370.19
  5. Step 5: Solve for x
    x = 74,974,370.19/13,967.02
  6. Step 6: Final answer
    x = 5,367.96

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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.