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Finding the Fourth Proportional to 13,971.70, 20,962.07 and 4,111.03

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Solution

The fourth proportional to 13,971.70, 20,962.07 and 4,111.03 is: 6,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.70 : 20,962.07 = 4,111.03 : x
  2. Step 2: Convert to fraction form
    13,971.70/20,962.07 = 4,111.03/x
  3. Step 3: Cross multiply
    13,971.70x = 20,962.07 × 4,111.03
  4. Step 4: Simplify right side
    13,971.70x = 86,175,573.27
  5. Step 5: Solve for x
    x = 86,175,573.27/13,971.70
  6. Step 6: Final answer
    x = 6,167.87

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