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Finding the Fourth Proportional to 19,951.40, 27,531.06 and 11,567

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Solution

The fourth proportional to 19,951.40, 27,531.06 and 11,567 is: 15,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.40 : 27,531.06 = 11,567 : x
  2. Step 2: Convert to fraction form
    19,951.40/27,531.06 = 11,567/x
  3. Step 3: Cross multiply
    19,951.40x = 27,531.06 × 11,567
  4. Step 4: Simplify right side
    19,951.40x = 318,451,771.02
  5. Step 5: Solve for x
    x = 318,451,771.02/19,951.40
  6. Step 6: Final answer
    x = 15,961.37

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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.