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Finding the Fourth Proportional to 13,201.68, 19,755.34 and 11,467.12

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Solution

The fourth proportional to 13,201.68, 19,755.34 and 11,467.12 is: 17,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.68 : 19,755.34 = 11,467.12 : x
  2. Step 2: Convert to fraction form
    13,201.68/19,755.34 = 11,467.12/x
  3. Step 3: Cross multiply
    13,201.68x = 19,755.34 × 11,467.12
  4. Step 4: Simplify right side
    13,201.68x = 226,536,854.42
  5. Step 5: Solve for x
    x = 226,536,854.42/13,201.68
  6. Step 6: Final answer
    x = 17,159.70

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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.