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Finding the Fourth Proportional to 13,157.24, 19,745.24 and 9,879.17

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Solution

The fourth proportional to 13,157.24, 19,745.24 and 9,879.17 is: 14,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.24 : 19,745.24 = 9,879.17 : x
  2. Step 2: Convert to fraction form
    13,157.24/19,745.24 = 9,879.17/x
  3. Step 3: Cross multiply
    13,157.24x = 19,745.24 × 9,879.17
  4. Step 4: Simplify right side
    13,157.24x = 195,066,434.53
  5. Step 5: Solve for x
    x = 195,066,434.53/13,157.24
  6. Step 6: Final answer
    x = 14,825.79

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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.