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Finding the Fourth Proportional to 16,546.17, 22,833.90 and 8,992.63

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Solution

The fourth proportional to 16,546.17, 22,833.90 and 8,992.63 is: 12,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.17 : 22,833.90 = 8,992.63 : x
  2. Step 2: Convert to fraction form
    16,546.17/22,833.90 = 8,992.63/x
  3. Step 3: Cross multiply
    16,546.17x = 22,833.90 × 8,992.63
  4. Step 4: Simplify right side
    16,546.17x = 205,336,769.19
  5. Step 5: Solve for x
    x = 205,336,769.19/16,546.17
  6. Step 6: Final answer
    x = 12,409.93

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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.