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Finding the Fourth Proportional to 13,809.86, 19,057.73 and 7,522.23

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Solution

The fourth proportional to 13,809.86, 19,057.73 and 7,522.23 is: 10,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.86 : 19,057.73 = 7,522.23 : x
  2. Step 2: Convert to fraction form
    13,809.86/19,057.73 = 7,522.23/x
  3. Step 3: Cross multiply
    13,809.86x = 19,057.73 × 7,522.23
  4. Step 4: Simplify right side
    13,809.86x = 143,356,590.73
  5. Step 5: Solve for x
    x = 143,356,590.73/13,809.86
  6. Step 6: Final answer
    x = 10,380.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.