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Finding the Fourth Proportional to 21,414.69, 32,077.22 and 13,584.69

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Solution

The fourth proportional to 21,414.69, 32,077.22 and 13,584.69 is: 20,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.69 : 32,077.22 = 13,584.69 : x
  2. Step 2: Convert to fraction form
    21,414.69/32,077.22 = 13,584.69/x
  3. Step 3: Cross multiply
    21,414.69x = 32,077.22 × 13,584.69
  4. Step 4: Simplify right side
    21,414.69x = 435,759,021.84
  5. Step 5: Solve for x
    x = 435,759,021.84/21,414.69
  6. Step 6: Final answer
    x = 20,348.60

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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.