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Finding the Fourth Proportional to 12,853.48, 19,267.26 and 12,296.20

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Solution

The fourth proportional to 12,853.48, 19,267.26 and 12,296.20 is: 18,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.48 : 19,267.26 = 12,296.20 : x
  2. Step 2: Convert to fraction form
    12,853.48/19,267.26 = 12,296.20/x
  3. Step 3: Cross multiply
    12,853.48x = 19,267.26 × 12,296.20
  4. Step 4: Simplify right side
    12,853.48x = 236,914,082.41
  5. Step 5: Solve for x
    x = 236,914,082.41/12,853.48
  6. Step 6: Final answer
    x = 18,431.90

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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.