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Finding the Fourth Proportional to 13,834.01, 19,090.94 and 7,866.05

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Solution

The fourth proportional to 13,834.01, 19,090.94 and 7,866.05 is: 10,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.01 : 19,090.94 = 7,866.05 : x
  2. Step 2: Convert to fraction form
    13,834.01/19,090.94 = 7,866.05/x
  3. Step 3: Cross multiply
    13,834.01x = 19,090.94 × 7,866.05
  4. Step 4: Simplify right side
    13,834.01x = 150,170,153.80
  5. Step 5: Solve for x
    x = 150,170,153.80/13,834.01
  6. Step 6: Final answer
    x = 10,855.15

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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.