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Finding the Fourth Proportional to 15,097.57, 20,834.26 and 8,382.99

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Solution

The fourth proportional to 15,097.57, 20,834.26 and 8,382.99 is: 11,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.57 : 20,834.26 = 8,382.99 : x
  2. Step 2: Convert to fraction form
    15,097.57/20,834.26 = 8,382.99/x
  3. Step 3: Cross multiply
    15,097.57x = 20,834.26 × 8,382.99
  4. Step 4: Simplify right side
    15,097.57x = 174,653,393.24
  5. Step 5: Solve for x
    x = 174,653,393.24/15,097.57
  6. Step 6: Final answer
    x = 11,568.31

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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.