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Finding the Fourth Proportional to 13,464.54, 18,581.94 and 9,265.50

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Solution

The fourth proportional to 13,464.54, 18,581.94 and 9,265.50 is: 12,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.54 : 18,581.94 = 9,265.50 : x
  2. Step 2: Convert to fraction form
    13,464.54/18,581.94 = 9,265.50/x
  3. Step 3: Cross multiply
    13,464.54x = 18,581.94 × 9,265.50
  4. Step 4: Simplify right side
    13,464.54x = 172,170,965.07
  5. Step 5: Solve for x
    x = 172,170,965.07/13,464.54
  6. Step 6: Final answer
    x = 12,786.99

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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.