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Finding the Fourth Proportional to 13,506.64, 18,630.06 and 11,735.20

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Solution

The fourth proportional to 13,506.64, 18,630.06 and 11,735.20 is: 16,186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.64 : 18,630.06 = 11,735.20 : x
  2. Step 2: Convert to fraction form
    13,506.64/18,630.06 = 11,735.20/x
  3. Step 3: Cross multiply
    13,506.64x = 18,630.06 × 11,735.20
  4. Step 4: Simplify right side
    13,506.64x = 218,627,480.11
  5. Step 5: Solve for x
    x = 218,627,480.11/13,506.64
  6. Step 6: Final answer
    x = 16,186.67

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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.