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Finding the Fourth Proportional to 11,722.80, 16,185.01 and 10,461.69

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Solution

The fourth proportional to 11,722.80, 16,185.01 and 10,461.69 is: 14,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.80 : 16,185.01 = 10,461.69 : x
  2. Step 2: Convert to fraction form
    11,722.80/16,185.01 = 10,461.69/x
  3. Step 3: Cross multiply
    11,722.80x = 16,185.01 × 10,461.69
  4. Step 4: Simplify right side
    11,722.80x = 169,322,557.27
  5. Step 5: Solve for x
    x = 169,322,557.27/11,722.80
  6. Step 6: Final answer
    x = 14,443.87

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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.