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Finding the Fourth Proportional to 21,102.14, 29,121.54 and 11,671.31

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Solution

The fourth proportional to 21,102.14, 29,121.54 and 11,671.31 is: 16,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.14 : 29,121.54 = 11,671.31 : x
  2. Step 2: Convert to fraction form
    21,102.14/29,121.54 = 11,671.31/x
  3. Step 3: Cross multiply
    21,102.14x = 29,121.54 × 11,671.31
  4. Step 4: Simplify right side
    21,102.14x = 339,886,521.02
  5. Step 5: Solve for x
    x = 339,886,521.02/21,102.14
  6. Step 6: Final answer
    x = 16,106.73

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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.