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Finding the Fourth Proportional to 12,489.09, 17,234.55 and 6,823.68

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Solution

The fourth proportional to 12,489.09, 17,234.55 and 6,823.68 is: 9,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.09 : 17,234.55 = 6,823.68 : x
  2. Step 2: Convert to fraction form
    12,489.09/17,234.55 = 6,823.68/x
  3. Step 3: Cross multiply
    12,489.09x = 17,234.55 × 6,823.68
  4. Step 4: Simplify right side
    12,489.09x = 117,603,054.14
  5. Step 5: Solve for x
    x = 117,603,054.14/12,489.09
  6. Step 6: Final answer
    x = 9,416.46

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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.