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Finding the Fourth Proportional to 14,992.92, 22,489.38 and 8,111.16

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Solution

The fourth proportional to 14,992.92, 22,489.38 and 8,111.16 is: 12,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.92 : 22,489.38 = 8,111.16 : x
  2. Step 2: Convert to fraction form
    14,992.92/22,489.38 = 8,111.16/x
  3. Step 3: Cross multiply
    14,992.92x = 22,489.38 × 8,111.16
  4. Step 4: Simplify right side
    14,992.92x = 182,414,959.48
  5. Step 5: Solve for x
    x = 182,414,959.48/14,992.92
  6. Step 6: Final answer
    x = 12,166.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.