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Finding the Fourth Proportional to 20,213.26, 27,872.01 and 13,840.90

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Solution

The fourth proportional to 20,213.26, 27,872.01 and 13,840.90 is: 19,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.26 : 27,872.01 = 13,840.90 : x
  2. Step 2: Convert to fraction form
    20,213.26/27,872.01 = 13,840.90/x
  3. Step 3: Cross multiply
    20,213.26x = 27,872.01 × 13,840.90
  4. Step 4: Simplify right side
    20,213.26x = 385,773,703.21
  5. Step 5: Solve for x
    x = 385,773,703.21/20,213.26
  6. Step 6: Final answer
    x = 19,085.18

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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.