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Finding the Fourth Proportional to 13,734.96, 20,604.06 and 10,294.08

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Solution

The fourth proportional to 13,734.96, 20,604.06 and 10,294.08 is: 15,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.96 : 20,604.06 = 10,294.08 : x
  2. Step 2: Convert to fraction form
    13,734.96/20,604.06 = 10,294.08/x
  3. Step 3: Cross multiply
    13,734.96x = 20,604.06 × 10,294.08
  4. Step 4: Simplify right side
    13,734.96x = 212,099,841.96
  5. Step 5: Solve for x
    x = 212,099,841.96/13,734.96
  6. Step 6: Final answer
    x = 15,442.33

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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.