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Finding the Fourth Proportional to 13,768.68, 19,000.44 and 8,102.46

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Solution

The fourth proportional to 13,768.68, 19,000.44 and 8,102.46 is: 11,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.68 : 19,000.44 = 8,102.46 : x
  2. Step 2: Convert to fraction form
    13,768.68/19,000.44 = 8,102.46/x
  3. Step 3: Cross multiply
    13,768.68x = 19,000.44 × 8,102.46
  4. Step 4: Simplify right side
    13,768.68x = 153,950,305.08
  5. Step 5: Solve for x
    x = 153,950,305.08/13,768.68
  6. Step 6: Final answer
    x = 11,181.20

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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.