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Finding the Fourth Proportional to 13,186.98, 18,201.51 and 9,154.08

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Solution

The fourth proportional to 13,186.98, 18,201.51 and 9,154.08 is: 12,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.98 : 18,201.51 = 9,154.08 : x
  2. Step 2: Convert to fraction form
    13,186.98/18,201.51 = 9,154.08/x
  3. Step 3: Cross multiply
    13,186.98x = 18,201.51 × 9,154.08
  4. Step 4: Simplify right side
    13,186.98x = 166,618,078.66
  5. Step 5: Solve for x
    x = 166,618,078.66/13,186.98
  6. Step 6: Final answer
    x = 12,635.04

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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.