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Finding the Fourth Proportional to 13,823.70, 19,090.29 and 8,797.38

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Solution

The fourth proportional to 13,823.70, 19,090.29 and 8,797.38 is: 12,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.70 : 19,090.29 = 8,797.38 : x
  2. Step 2: Convert to fraction form
    13,823.70/19,090.29 = 8,797.38/x
  3. Step 3: Cross multiply
    13,823.70x = 19,090.29 × 8,797.38
  4. Step 4: Simplify right side
    13,823.70x = 167,944,535.44
  5. Step 5: Solve for x
    x = 167,944,535.44/13,823.70
  6. Step 6: Final answer
    x = 12,149.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.