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Finding the Fourth Proportional to 17,284.68, 23,850.90 and 9,730.44

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Solution

The fourth proportional to 17,284.68, 23,850.90 and 9,730.44 is: 13,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.68 : 23,850.90 = 9,730.44 : x
  2. Step 2: Convert to fraction form
    17,284.68/23,850.90 = 9,730.44/x
  3. Step 3: Cross multiply
    17,284.68x = 23,850.90 × 9,730.44
  4. Step 4: Simplify right side
    17,284.68x = 232,079,751.40
  5. Step 5: Solve for x
    x = 232,079,751.40/17,284.68
  6. Step 6: Final answer
    x = 13,426.90

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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.