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Finding the Fourth Proportional to 13,495.72, 18,626.37 and 9,969.16

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Solution

The fourth proportional to 13,495.72, 18,626.37 and 9,969.16 is: 13,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.72 : 18,626.37 = 9,969.16 : x
  2. Step 2: Convert to fraction form
    13,495.72/18,626.37 = 9,969.16/x
  3. Step 3: Cross multiply
    13,495.72x = 18,626.37 × 9,969.16
  4. Step 4: Simplify right side
    13,495.72x = 185,689,262.75
  5. Step 5: Solve for x
    x = 185,689,262.75/13,495.72
  6. Step 6: Final answer
    x = 13,759.12

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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.