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Finding the Fourth Proportional to 14,093.38, 21,106.39 and 7,837.85

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Solution

The fourth proportional to 14,093.38, 21,106.39 and 7,837.85 is: 11,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,093.38 : 21,106.39 = 7,837.85 : x
  2. Step 2: Convert to fraction form
    14,093.38/21,106.39 = 7,837.85/x
  3. Step 3: Cross multiply
    14,093.38x = 21,106.39 × 7,837.85
  4. Step 4: Simplify right side
    14,093.38x = 165,428,718.86
  5. Step 5: Solve for x
    x = 165,428,718.86/14,093.38
  6. Step 6: Final answer
    x = 11,738.04

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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.