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Finding the Fourth Proportional to 13,506.70, 18,647.45 and 9,264.73

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Solution

The fourth proportional to 13,506.70, 18,647.45 and 9,264.73 is: 12,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.70 : 18,647.45 = 9,264.73 : x
  2. Step 2: Convert to fraction form
    13,506.70/18,647.45 = 9,264.73/x
  3. Step 3: Cross multiply
    13,506.70x = 18,647.45 × 9,264.73
  4. Step 4: Simplify right side
    13,506.70x = 172,763,589.44
  5. Step 5: Solve for x
    x = 172,763,589.44/13,506.70
  6. Step 6: Final answer
    x = 12,790.95

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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.