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Finding the Fourth Proportional to 12,170.85, 16,796.01 and 6,864.63

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Solution

The fourth proportional to 12,170.85, 16,796.01 and 6,864.63 is: 9,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.85 : 16,796.01 = 6,864.63 : x
  2. Step 2: Convert to fraction form
    12,170.85/16,796.01 = 6,864.63/x
  3. Step 3: Cross multiply
    12,170.85x = 16,796.01 × 6,864.63
  4. Step 4: Simplify right side
    12,170.85x = 115,298,394.13
  5. Step 5: Solve for x
    x = 115,298,394.13/12,170.85
  6. Step 6: Final answer
    x = 9,473.32

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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.