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Finding the Fourth Proportional to 13,267.40, 18,305.70 and 8,546

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Solution

The fourth proportional to 13,267.40, 18,305.70 and 8,546 is: 11,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.40 : 18,305.70 = 8,546 : x
  2. Step 2: Convert to fraction form
    13,267.40/18,305.70 = 8,546/x
  3. Step 3: Cross multiply
    13,267.40x = 18,305.70 × 8,546
  4. Step 4: Simplify right side
    13,267.40x = 156,440,512.20
  5. Step 5: Solve for x
    x = 156,440,512.20/13,267.40
  6. Step 6: Final answer
    x = 11,791.35

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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.