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Finding the Fourth Proportional to 13,752.06, 18,982.35 and 8,086.53

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Solution

The fourth proportional to 13,752.06, 18,982.35 and 8,086.53 is: 11,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.06 : 18,982.35 = 8,086.53 : x
  2. Step 2: Convert to fraction form
    13,752.06/18,982.35 = 8,086.53/x
  3. Step 3: Cross multiply
    13,752.06x = 18,982.35 × 8,086.53
  4. Step 4: Simplify right side
    13,752.06x = 153,501,342.75
  5. Step 5: Solve for x
    x = 153,501,342.75/13,752.06
  6. Step 6: Final answer
    x = 11,162.06

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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.