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Finding the Fourth Proportional to 13,263.84, 19,882.80 and 8,317.44

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Solution

The fourth proportional to 13,263.84, 19,882.80 and 8,317.44 is: 12,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.84 : 19,882.80 = 8,317.44 : x
  2. Step 2: Convert to fraction form
    13,263.84/19,882.80 = 8,317.44/x
  3. Step 3: Cross multiply
    13,263.84x = 19,882.80 × 8,317.44
  4. Step 4: Simplify right side
    13,263.84x = 165,373,996.03
  5. Step 5: Solve for x
    x = 165,373,996.03/13,263.84
  6. Step 6: Final answer
    x = 12,468.03

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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.