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Finding the Fourth Proportional to 29,885.96, 41,241.30 and 17,130

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Solution

The fourth proportional to 29,885.96, 41,241.30 and 17,130 is: 23,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,885.96 : 41,241.30 = 17,130 : x
  2. Step 2: Convert to fraction form
    29,885.96/41,241.30 = 17,130/x
  3. Step 3: Cross multiply
    29,885.96x = 41,241.30 × 17,130
  4. Step 4: Simplify right side
    29,885.96x = 706,463,469
  5. Step 5: Solve for x
    x = 706,463,469/29,885.96
  6. Step 6: Final answer
    x = 23,638.64

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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.