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Finding the Fourth Proportional to 13,736.16, 18,958.59 and 8,962.02

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Solution

The fourth proportional to 13,736.16, 18,958.59 and 8,962.02 is: 12,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736.16 : 18,958.59 = 8,962.02 : x
  2. Step 2: Convert to fraction form
    13,736.16/18,958.59 = 8,962.02/x
  3. Step 3: Cross multiply
    13,736.16x = 18,958.59 × 8,962.02
  4. Step 4: Simplify right side
    13,736.16x = 169,907,262.75
  5. Step 5: Solve for x
    x = 169,907,262.75/13,736.16
  6. Step 6: Final answer
    x = 12,369.34

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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.