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Finding the Fourth Proportional to 11,354.14, 17,009.32 and 9,276.48

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Solution

The fourth proportional to 11,354.14, 17,009.32 and 9,276.48 is: 13,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.14 : 17,009.32 = 9,276.48 : x
  2. Step 2: Convert to fraction form
    11,354.14/17,009.32 = 9,276.48/x
  3. Step 3: Cross multiply
    11,354.14x = 17,009.32 × 9,276.48
  4. Step 4: Simplify right side
    11,354.14x = 157,786,616.79
  5. Step 5: Solve for x
    x = 157,786,616.79/11,354.14
  6. Step 6: Final answer
    x = 13,896.84

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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.