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Finding the Fourth Proportional to 13,768.42, 19,000.36 and 8,103.13

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Solution

The fourth proportional to 13,768.42, 19,000.36 and 8,103.13 is: 11,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.42 : 19,000.36 = 8,103.13 : x
  2. Step 2: Convert to fraction form
    13,768.42/19,000.36 = 8,103.13/x
  3. Step 3: Cross multiply
    13,768.42x = 19,000.36 × 8,103.13
  4. Step 4: Simplify right side
    13,768.42x = 153,962,372.54
  5. Step 5: Solve for x
    x = 153,962,372.54/13,768.42
  6. Step 6: Final answer
    x = 11,182.28

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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.