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Finding the Fourth Proportional to 17,609.54, 26,415.12 and 7,214

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Solution

The fourth proportional to 17,609.54, 26,415.12 and 7,214 is: 10,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609.54 : 26,415.12 = 7,214 : x
  2. Step 2: Convert to fraction form
    17,609.54/26,415.12 = 7,214/x
  3. Step 3: Cross multiply
    17,609.54x = 26,415.12 × 7,214
  4. Step 4: Simplify right side
    17,609.54x = 190,558,675.68
  5. Step 5: Solve for x
    x = 190,558,675.68/17,609.54
  6. Step 6: Final answer
    x = 10,821.33

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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.