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Finding the Fourth Proportional to 30,576.52, 42,193.14 and 16,965

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Solution

The fourth proportional to 30,576.52, 42,193.14 and 16,965 is: 23,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.52 : 42,193.14 = 16,965 : x
  2. Step 2: Convert to fraction form
    30,576.52/42,193.14 = 16,965/x
  3. Step 3: Cross multiply
    30,576.52x = 42,193.14 × 16,965
  4. Step 4: Simplify right side
    30,576.52x = 715,806,620.10
  5. Step 5: Solve for x
    x = 715,806,620.10/30,576.52
  6. Step 6: Final answer
    x = 23,410.34

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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.