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Finding the Fourth Proportional to 11,992.92, 16,535.52 and 9,861

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Solution

The fourth proportional to 11,992.92, 16,535.52 and 9,861 is: 13,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.92 : 16,535.52 = 9,861 : x
  2. Step 2: Convert to fraction form
    11,992.92/16,535.52 = 9,861/x
  3. Step 3: Cross multiply
    11,992.92x = 16,535.52 × 9,861
  4. Step 4: Simplify right side
    11,992.92x = 163,056,762.72
  5. Step 5: Solve for x
    x = 163,056,762.72/11,992.92
  6. Step 6: Final answer
    x = 13,596.09

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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.