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Finding the Fourth Proportional to 19,825.26, 29,728.47 and 11,507.83

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Solution

The fourth proportional to 19,825.26, 29,728.47 and 11,507.83 is: 17,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.26 : 29,728.47 = 11,507.83 : x
  2. Step 2: Convert to fraction form
    19,825.26/29,728.47 = 11,507.83/x
  3. Step 3: Cross multiply
    19,825.26x = 29,728.47 × 11,507.83
  4. Step 4: Simplify right side
    19,825.26x = 342,110,147.75
  5. Step 5: Solve for x
    x = 342,110,147.75/19,825.26
  6. Step 6: Final answer
    x = 17,256.28

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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.