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Finding the Fourth Proportional to 21,114.07, 31,608 and 12,768.85

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Solution

The fourth proportional to 21,114.07, 31,608 and 12,768.85 is: 19,115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.07 : 31,608 = 12,768.85 : x
  2. Step 2: Convert to fraction form
    21,114.07/31,608 = 12,768.85/x
  3. Step 3: Cross multiply
    21,114.07x = 31,608 × 12,768.85
  4. Step 4: Simplify right side
    21,114.07x = 403,597,810.80
  5. Step 5: Solve for x
    x = 403,597,810.80/21,114.07
  6. Step 6: Final answer
    x = 19,115.11

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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.