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Finding the Fourth Proportional to 13,506.57, 18,630.78 and 8,969.45

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Solution

The fourth proportional to 13,506.57, 18,630.78 and 8,969.45 is: 12,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.57 : 18,630.78 = 8,969.45 : x
  2. Step 2: Convert to fraction form
    13,506.57/18,630.78 = 8,969.45/x
  3. Step 3: Cross multiply
    13,506.57x = 18,630.78 × 8,969.45
  4. Step 4: Simplify right side
    13,506.57x = 167,107,756.52
  5. Step 5: Solve for x
    x = 167,107,756.52/13,506.57
  6. Step 6: Final answer
    x = 12,372.33

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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.