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Finding the Fourth Proportional to 12,016.96, 16,582.18 and 8,243.34

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Solution

The fourth proportional to 12,016.96, 16,582.18 and 8,243.34 is: 11,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.96 : 16,582.18 = 8,243.34 : x
  2. Step 2: Convert to fraction form
    12,016.96/16,582.18 = 8,243.34/x
  3. Step 3: Cross multiply
    12,016.96x = 16,582.18 × 8,243.34
  4. Step 4: Simplify right side
    12,016.96x = 136,692,547.68
  5. Step 5: Solve for x
    x = 136,692,547.68/12,016.96
  6. Step 6: Final answer
    x = 11,374.97

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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.