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Finding the Fourth Proportional to 10,992.92, 16,460.82 and 9,233.87

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Solution

The fourth proportional to 10,992.92, 16,460.82 and 9,233.87 is: 13,826.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.92 : 16,460.82 = 9,233.87 : x
  2. Step 2: Convert to fraction form
    10,992.92/16,460.82 = 9,233.87/x
  3. Step 3: Cross multiply
    10,992.92x = 16,460.82 × 9,233.87
  4. Step 4: Simplify right side
    10,992.92x = 151,996,989.67
  5. Step 5: Solve for x
    x = 151,996,989.67/10,992.92
  6. Step 6: Final answer
    x = 13,826.81

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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.