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Finding the Fourth Proportional to 28,817.25, 39,768.42 and 16,242

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Solution

The fourth proportional to 28,817.25, 39,768.42 and 16,242 is: 22,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,817.25 : 39,768.42 = 16,242 : x
  2. Step 2: Convert to fraction form
    28,817.25/39,768.42 = 16,242/x
  3. Step 3: Cross multiply
    28,817.25x = 39,768.42 × 16,242
  4. Step 4: Simplify right side
    28,817.25x = 645,918,677.64
  5. Step 5: Solve for x
    x = 645,918,677.64/28,817.25
  6. Step 6: Final answer
    x = 22,414.31

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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.