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Finding the Fourth Proportional to 16,455.92, 22,707.96 and 10,166

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Solution

The fourth proportional to 16,455.92, 22,707.96 and 10,166 is: 14,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.92 : 22,707.96 = 10,166 : x
  2. Step 2: Convert to fraction form
    16,455.92/22,707.96 = 10,166/x
  3. Step 3: Cross multiply
    16,455.92x = 22,707.96 × 10,166
  4. Step 4: Simplify right side
    16,455.92x = 230,849,121.36
  5. Step 5: Solve for x
    x = 230,849,121.36/16,455.92
  6. Step 6: Final answer
    x = 14,028.33

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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.