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Finding the Fourth Proportional to 13,714.54, 20,513.22 and 11,449.30

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Solution

The fourth proportional to 13,714.54, 20,513.22 and 11,449.30 is: 17,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.54 : 20,513.22 = 11,449.30 : x
  2. Step 2: Convert to fraction form
    13,714.54/20,513.22 = 11,449.30/x
  3. Step 3: Cross multiply
    13,714.54x = 20,513.22 × 11,449.30
  4. Step 4: Simplify right side
    13,714.54x = 234,862,009.75
  5. Step 5: Solve for x
    x = 234,862,009.75/13,714.54
  6. Step 6: Final answer
    x = 17,125.04

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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.