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Finding the Fourth Proportional to 13,735.40, 18,952.31 and 8,071.07

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Solution

The fourth proportional to 13,735.40, 18,952.31 and 8,071.07 is: 11,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.40 : 18,952.31 = 8,071.07 : x
  2. Step 2: Convert to fraction form
    13,735.40/18,952.31 = 8,071.07/x
  3. Step 3: Cross multiply
    13,735.40x = 18,952.31 × 8,071.07
  4. Step 4: Simplify right side
    13,735.40x = 152,965,346.09
  5. Step 5: Solve for x
    x = 152,965,346.09/13,735.40
  6. Step 6: Final answer
    x = 11,136.58

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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.