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Finding the Fourth Proportional to 12,234.97, 16,885.44 and 6,858.32

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Solution

The fourth proportional to 12,234.97, 16,885.44 and 6,858.32 is: 9,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.97 : 16,885.44 = 6,858.32 : x
  2. Step 2: Convert to fraction form
    12,234.97/16,885.44 = 6,858.32/x
  3. Step 3: Cross multiply
    12,234.97x = 16,885.44 × 6,858.32
  4. Step 4: Simplify right side
    12,234.97x = 115,805,750.86
  5. Step 5: Solve for x
    x = 115,805,750.86/12,234.97
  6. Step 6: Final answer
    x = 9,465.14

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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.