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Finding the Fourth Proportional to 17,813.62, 26,716.89 and 5,164.86

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Solution

The fourth proportional to 17,813.62, 26,716.89 and 5,164.86 is: 7,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.62 : 26,716.89 = 5,164.86 : x
  2. Step 2: Convert to fraction form
    17,813.62/26,716.89 = 5,164.86/x
  3. Step 3: Cross multiply
    17,813.62x = 26,716.89 × 5,164.86
  4. Step 4: Simplify right side
    17,813.62x = 137,989,116.04
  5. Step 5: Solve for x
    x = 137,989,116.04/17,813.62
  6. Step 6: Final answer
    x = 7,746.27

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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.