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Finding the Fourth Proportional to 13,506.30, 18,636.85 and 7,537.21

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Solution

The fourth proportional to 13,506.30, 18,636.85 and 7,537.21 is: 10,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.30 : 18,636.85 = 7,537.21 : x
  2. Step 2: Convert to fraction form
    13,506.30/18,636.85 = 7,537.21/x
  3. Step 3: Cross multiply
    13,506.30x = 18,636.85 × 7,537.21
  4. Step 4: Simplify right side
    13,506.30x = 140,469,815.02
  5. Step 5: Solve for x
    x = 140,469,815.02/13,506.30
  6. Step 6: Final answer
    x = 10,400.32

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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.