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Finding the Fourth Proportional to 12,016.30, 16,582.76 and 6,638.73

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Solution

The fourth proportional to 12,016.30, 16,582.76 and 6,638.73 is: 9,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.30 : 16,582.76 = 6,638.73 : x
  2. Step 2: Convert to fraction form
    12,016.30/16,582.76 = 6,638.73/x
  3. Step 3: Cross multiply
    12,016.30x = 16,582.76 × 6,638.73
  4. Step 4: Simplify right side
    12,016.30x = 110,088,466.29
  5. Step 5: Solve for x
    x = 110,088,466.29/12,016.30
  6. Step 6: Final answer
    x = 9,161.59

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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.