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Finding the Fourth Proportional to 13,578.72, 20,327.76 and 7,404

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Solution

The fourth proportional to 13,578.72, 20,327.76 and 7,404 is: 11,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.72 : 20,327.76 = 7,404 : x
  2. Step 2: Convert to fraction form
    13,578.72/20,327.76 = 7,404/x
  3. Step 3: Cross multiply
    13,578.72x = 20,327.76 × 7,404
  4. Step 4: Simplify right side
    13,578.72x = 150,506,735.04
  5. Step 5: Solve for x
    x = 150,506,735.04/13,578.72
  6. Step 6: Final answer
    x = 11,084.01

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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.