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Finding the Fourth Proportional to 13,924.09, 20,882.92 and 8,303.34

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Solution

The fourth proportional to 13,924.09, 20,882.92 and 8,303.34 is: 12,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.09 : 20,882.92 = 8,303.34 : x
  2. Step 2: Convert to fraction form
    13,924.09/20,882.92 = 8,303.34/x
  3. Step 3: Cross multiply
    13,924.09x = 20,882.92 × 8,303.34
  4. Step 4: Simplify right side
    13,924.09x = 173,397,984.95
  5. Step 5: Solve for x
    x = 173,397,984.95/13,924.09
  6. Step 6: Final answer
    x = 12,453.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.