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Finding the Fourth Proportional to 13,006.26, 17,938.98 and 8,469.96

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Solution

The fourth proportional to 13,006.26, 17,938.98 and 8,469.96 is: 11,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.26 : 17,938.98 = 8,469.96 : x
  2. Step 2: Convert to fraction form
    13,006.26/17,938.98 = 8,469.96/x
  3. Step 3: Cross multiply
    13,006.26x = 17,938.98 × 8,469.96
  4. Step 4: Simplify right side
    13,006.26x = 151,942,443.04
  5. Step 5: Solve for x
    x = 151,942,443.04/13,006.26
  6. Step 6: Final answer
    x = 11,682.25

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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.