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Finding the Fourth Proportional to 30,576.77, 42,195.96 and 16,965.73

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Solution

The fourth proportional to 30,576.77, 42,195.96 and 16,965.73 is: 23,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.77 : 42,195.96 = 16,965.73 : x
  2. Step 2: Convert to fraction form
    30,576.77/42,195.96 = 16,965.73/x
  3. Step 3: Cross multiply
    30,576.77x = 42,195.96 × 16,965.73
  4. Step 4: Simplify right side
    30,576.77x = 715,885,158.96
  5. Step 5: Solve for x
    x = 715,885,158.96/30,576.77
  6. Step 6: Final answer
    x = 23,412.72

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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.