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Finding the Fourth Proportional to 13,682.75, 18,882.36 and 8,303.63

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Solution

The fourth proportional to 13,682.75, 18,882.36 and 8,303.63 is: 11,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.75 : 18,882.36 = 8,303.63 : x
  2. Step 2: Convert to fraction form
    13,682.75/18,882.36 = 8,303.63/x
  3. Step 3: Cross multiply
    13,682.75x = 18,882.36 × 8,303.63
  4. Step 4: Simplify right side
    13,682.75x = 156,792,036.56
  5. Step 5: Solve for x
    x = 156,792,036.56/13,682.75
  6. Step 6: Final answer
    x = 11,459.11

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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.