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Finding the Fourth Proportional to 11,455.76, 17,197.32 and 9,144.32

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Solution

The fourth proportional to 11,455.76, 17,197.32 and 9,144.32 is: 13,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.76 : 17,197.32 = 9,144.32 : x
  2. Step 2: Convert to fraction form
    11,455.76/17,197.32 = 9,144.32/x
  3. Step 3: Cross multiply
    11,455.76x = 17,197.32 × 9,144.32
  4. Step 4: Simplify right side
    11,455.76x = 157,257,797.22
  5. Step 5: Solve for x
    x = 157,257,797.22/11,455.76
  6. Step 6: Final answer
    x = 13,727.40

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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.