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Finding the Fourth Proportional to 21,076.86, 29,083.59 and 11,644.86

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Solution

The fourth proportional to 21,076.86, 29,083.59 and 11,644.86 is: 16,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.86 : 29,083.59 = 11,644.86 : x
  2. Step 2: Convert to fraction form
    21,076.86/29,083.59 = 11,644.86/x
  3. Step 3: Cross multiply
    21,076.86x = 29,083.59 × 11,644.86
  4. Step 4: Simplify right side
    21,076.86x = 338,674,333.85
  5. Step 5: Solve for x
    x = 338,674,333.85/21,076.86
  6. Step 6: Final answer
    x = 16,068.54

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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.