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Finding the Fourth Proportional to 13,814.10, 20,730.23 and 7,578.48

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Solution

The fourth proportional to 13,814.10, 20,730.23 and 7,578.48 is: 11,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.10 : 20,730.23 = 7,578.48 : x
  2. Step 2: Convert to fraction form
    13,814.10/20,730.23 = 7,578.48/x
  3. Step 3: Cross multiply
    13,814.10x = 20,730.23 × 7,578.48
  4. Step 4: Simplify right side
    13,814.10x = 157,103,595.56
  5. Step 5: Solve for x
    x = 157,103,595.56/13,814.10
  6. Step 6: Final answer
    x = 11,372.70

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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.