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Finding the Fourth Proportional to 17,785.98, 26,715.83 and 14,114.05

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Solution

The fourth proportional to 17,785.98, 26,715.83 and 14,114.05 is: 21,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.98 : 26,715.83 = 14,114.05 : x
  2. Step 2: Convert to fraction form
    17,785.98/26,715.83 = 14,114.05/x
  3. Step 3: Cross multiply
    17,785.98x = 26,715.83 × 14,114.05
  4. Step 4: Simplify right side
    17,785.98x = 377,068,629.09
  5. Step 5: Solve for x
    x = 377,068,629.09/17,785.98
  6. Step 6: Final answer
    x = 21,200.32

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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.