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Finding the Fourth Proportional to 13,506.62, 18,647.69 and 9,264.78

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Solution

The fourth proportional to 13,506.62, 18,647.69 and 9,264.78 is: 12,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.62 : 18,647.69 = 9,264.78 : x
  2. Step 2: Convert to fraction form
    13,506.62/18,647.69 = 9,264.78/x
  3. Step 3: Cross multiply
    13,506.62x = 18,647.69 × 9,264.78
  4. Step 4: Simplify right side
    13,506.62x = 172,766,699.03
  5. Step 5: Solve for x
    x = 172,766,699.03/13,506.62
  6. Step 6: Final answer
    x = 12,791.27

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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.