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Finding the Fourth Proportional to 23,694.84, 35,511.42 and 9,638.49

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Solution

The fourth proportional to 23,694.84, 35,511.42 and 9,638.49 is: 14,445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.84 : 35,511.42 = 9,638.49 : x
  2. Step 2: Convert to fraction form
    23,694.84/35,511.42 = 9,638.49/x
  3. Step 3: Cross multiply
    23,694.84x = 35,511.42 × 9,638.49
  4. Step 4: Simplify right side
    23,694.84x = 342,276,466.56
  5. Step 5: Solve for x
    x = 342,276,466.56/23,694.84
  6. Step 6: Final answer
    x = 14,445.19

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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.