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Finding the Fourth Proportional to 30,857.40, 42,583 and 16,709.96

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Solution

The fourth proportional to 30,857.40, 42,583 and 16,709.96 is: 23,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.40 : 42,583 = 16,709.96 : x
  2. Step 2: Convert to fraction form
    30,857.40/42,583 = 16,709.96/x
  3. Step 3: Cross multiply
    30,857.40x = 42,583 × 16,709.96
  4. Step 4: Simplify right side
    30,857.40x = 711,560,226.68
  5. Step 5: Solve for x
    x = 711,560,226.68/30,857.40
  6. Step 6: Final answer
    x = 23,059.63

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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.