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Finding the Fourth Proportional to 11,567.36, 17,321.84 and 10,029.20

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Solution

The fourth proportional to 11,567.36, 17,321.84 and 10,029.20 is: 15,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.36 : 17,321.84 = 10,029.20 : x
  2. Step 2: Convert to fraction form
    11,567.36/17,321.84 = 10,029.20/x
  3. Step 3: Cross multiply
    11,567.36x = 17,321.84 × 10,029.20
  4. Step 4: Simplify right side
    11,567.36x = 173,724,197.73
  5. Step 5: Solve for x
    x = 173,724,197.73/11,567.36
  6. Step 6: Final answer
    x = 15,018.48

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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.