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Finding the Fourth Proportional to 13,857.82, 20,774.43 and 5,090.68

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Solution

The fourth proportional to 13,857.82, 20,774.43 and 5,090.68 is: 7,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.82 : 20,774.43 = 5,090.68 : x
  2. Step 2: Convert to fraction form
    13,857.82/20,774.43 = 5,090.68/x
  3. Step 3: Cross multiply
    13,857.82x = 20,774.43 × 5,090.68
  4. Step 4: Simplify right side
    13,857.82x = 105,755,975.31
  5. Step 5: Solve for x
    x = 105,755,975.31/13,857.82
  6. Step 6: Final answer
    x = 7,631.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.