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Finding the Fourth Proportional to 12,265.93, 18,401.63 and 4,474.74

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Solution

The fourth proportional to 12,265.93, 18,401.63 and 4,474.74 is: 6,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.93 : 18,401.63 = 4,474.74 : x
  2. Step 2: Convert to fraction form
    12,265.93/18,401.63 = 4,474.74/x
  3. Step 3: Cross multiply
    12,265.93x = 18,401.63 × 4,474.74
  4. Step 4: Simplify right side
    12,265.93x = 82,342,487.45
  5. Step 5: Solve for x
    x = 82,342,487.45/12,265.93
  6. Step 6: Final answer
    x = 6,713.11

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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.