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Finding the Fourth Proportional to 13,121.16, 18,105.84 and 7,814.94

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Solution

The fourth proportional to 13,121.16, 18,105.84 and 7,814.94 is: 10,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.16 : 18,105.84 = 7,814.94 : x
  2. Step 2: Convert to fraction form
    13,121.16/18,105.84 = 7,814.94/x
  3. Step 3: Cross multiply
    13,121.16x = 18,105.84 × 7,814.94
  4. Step 4: Simplify right side
    13,121.16x = 141,496,053.25
  5. Step 5: Solve for x
    x = 141,496,053.25/13,121.16
  6. Step 6: Final answer
    x = 10,783.81

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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.