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Finding the Fourth Proportional to 13,533.67, 18,664.36 and 8,498.36

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Solution

The fourth proportional to 13,533.67, 18,664.36 and 8,498.36 is: 11,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.67 : 18,664.36 = 8,498.36 : x
  2. Step 2: Convert to fraction form
    13,533.67/18,664.36 = 8,498.36/x
  3. Step 3: Cross multiply
    13,533.67x = 18,664.36 × 8,498.36
  4. Step 4: Simplify right side
    13,533.67x = 158,616,450.45
  5. Step 5: Solve for x
    x = 158,616,450.45/13,533.67
  6. Step 6: Final answer
    x = 11,720.14

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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.