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Finding the Fourth Proportional to 21,610.86, 29,825.71 and 12,661.78

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Solution

The fourth proportional to 21,610.86, 29,825.71 and 12,661.78 is: 17,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.86 : 29,825.71 = 12,661.78 : x
  2. Step 2: Convert to fraction form
    21,610.86/29,825.71 = 12,661.78/x
  3. Step 3: Cross multiply
    21,610.86x = 29,825.71 × 12,661.78
  4. Step 4: Simplify right side
    21,610.86x = 377,646,578.36
  5. Step 5: Solve for x
    x = 377,646,578.36/21,610.86
  6. Step 6: Final answer
    x = 17,474.85

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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.