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Finding the Fourth Proportional to 13,578.27, 20,372.58 and 7,000.26

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Solution

The fourth proportional to 13,578.27, 20,372.58 and 7,000.26 is: 10,503.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.27 : 20,372.58 = 7,000.26 : x
  2. Step 2: Convert to fraction form
    13,578.27/20,372.58 = 7,000.26/x
  3. Step 3: Cross multiply
    13,578.27x = 20,372.58 × 7,000.26
  4. Step 4: Simplify right side
    13,578.27x = 142,613,356.87
  5. Step 5: Solve for x
    x = 142,613,356.87/13,578.27
  6. Step 6: Final answer
    x = 10,503.06

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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.