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Finding the Fourth Proportional to 11,417.09, 17,100.86 and 11,138.31

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Solution

The fourth proportional to 11,417.09, 17,100.86 and 11,138.31 is: 16,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.09 : 17,100.86 = 11,138.31 : x
  2. Step 2: Convert to fraction form
    11,417.09/17,100.86 = 11,138.31/x
  3. Step 3: Cross multiply
    11,417.09x = 17,100.86 × 11,138.31
  4. Step 4: Simplify right side
    11,417.09x = 190,474,624.26
  5. Step 5: Solve for x
    x = 190,474,624.26/11,417.09
  6. Step 6: Final answer
    x = 16,683.30

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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.