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Finding the Fourth Proportional to 17,221.20, 23,759.14 and 11,256.31

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Solution

The fourth proportional to 17,221.20, 23,759.14 and 11,256.31 is: 15,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.20 : 23,759.14 = 11,256.31 : x
  2. Step 2: Convert to fraction form
    17,221.20/23,759.14 = 11,256.31/x
  3. Step 3: Cross multiply
    17,221.20x = 23,759.14 × 11,256.31
  4. Step 4: Simplify right side
    17,221.20x = 267,440,070.10
  5. Step 5: Solve for x
    x = 267,440,070.10/17,221.20
  6. Step 6: Final answer
    x = 15,529.70

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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.