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Finding the Fourth Proportional to 13,635.06, 18,808.70 and 8,182.74

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Solution

The fourth proportional to 13,635.06, 18,808.70 and 8,182.74 is: 11,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.06 : 18,808.70 = 8,182.74 : x
  2. Step 2: Convert to fraction form
    13,635.06/18,808.70 = 8,182.74/x
  3. Step 3: Cross multiply
    13,635.06x = 18,808.70 × 8,182.74
  4. Step 4: Simplify right side
    13,635.06x = 153,906,600.62
  5. Step 5: Solve for x
    x = 153,906,600.62/13,635.06
  6. Step 6: Final answer
    x = 11,287.56

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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.