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Finding the Fourth Proportional to 13,065.87, 18,037.17 and 9,296.94

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Solution

The fourth proportional to 13,065.87, 18,037.17 and 9,296.94 is: 12,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.87 : 18,037.17 = 9,296.94 : x
  2. Step 2: Convert to fraction form
    13,065.87/18,037.17 = 9,296.94/x
  3. Step 3: Cross multiply
    13,065.87x = 18,037.17 × 9,296.94
  4. Step 4: Simplify right side
    13,065.87x = 167,690,487.26
  5. Step 5: Solve for x
    x = 167,690,487.26/13,065.87
  6. Step 6: Final answer
    x = 12,834.24

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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.