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Finding the Fourth Proportional to 21,635.75, 29,857.34 and 11,699.75

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Solution

The fourth proportional to 21,635.75, 29,857.34 and 11,699.75 is: 16,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635.75 : 29,857.34 = 11,699.75 : x
  2. Step 2: Convert to fraction form
    21,635.75/29,857.34 = 11,699.75/x
  3. Step 3: Cross multiply
    21,635.75x = 29,857.34 × 11,699.75
  4. Step 4: Simplify right side
    21,635.75x = 349,323,413.67
  5. Step 5: Solve for x
    x = 349,323,413.67/21,635.75
  6. Step 6: Final answer
    x = 16,145.66

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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.