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Finding the Fourth Proportional to 13,534.90, 18,683.92 and 8,231.42

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Solution

The fourth proportional to 13,534.90, 18,683.92 and 8,231.42 is: 11,362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.90 : 18,683.92 = 8,231.42 : x
  2. Step 2: Convert to fraction form
    13,534.90/18,683.92 = 8,231.42/x
  3. Step 3: Cross multiply
    13,534.90x = 18,683.92 × 8,231.42
  4. Step 4: Simplify right side
    13,534.90x = 153,795,192.77
  5. Step 5: Solve for x
    x = 153,795,192.77/13,534.90
  6. Step 6: Final answer
    x = 11,362.86

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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.