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Finding the Fourth Proportional to 11,434.88, 17,128.48 and 9,201.68

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Solution

The fourth proportional to 11,434.88, 17,128.48 and 9,201.68 is: 13,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.88 : 17,128.48 = 9,201.68 : x
  2. Step 2: Convert to fraction form
    11,434.88/17,128.48 = 9,201.68/x
  3. Step 3: Cross multiply
    11,434.88x = 17,128.48 × 9,201.68
  4. Step 4: Simplify right side
    11,434.88x = 157,610,791.85
  5. Step 5: Solve for x
    x = 157,610,791.85/11,434.88
  6. Step 6: Final answer
    x = 13,783.34

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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.