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Finding the Fourth Proportional to 16,353.56, 24,534 and 5,965.31

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Solution

The fourth proportional to 16,353.56, 24,534 and 5,965.31 is: 8,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.56 : 24,534 = 5,965.31 : x
  2. Step 2: Convert to fraction form
    16,353.56/24,534 = 5,965.31/x
  3. Step 3: Cross multiply
    16,353.56x = 24,534 × 5,965.31
  4. Step 4: Simplify right side
    16,353.56x = 146,352,976.88
  5. Step 5: Solve for x
    x = 146,352,976.88/16,353.56
  6. Step 6: Final answer
    x = 8,949.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.