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Finding the Fourth Proportional to 16,235.80, 24,353.70 and 5,846.20

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Solution

The fourth proportional to 16,235.80, 24,353.70 and 5,846.20 is: 8,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.80 : 24,353.70 = 5,846.20 : x
  2. Step 2: Convert to fraction form
    16,235.80/24,353.70 = 5,846.20/x
  3. Step 3: Cross multiply
    16,235.80x = 24,353.70 × 5,846.20
  4. Step 4: Simplify right side
    16,235.80x = 142,376,600.94
  5. Step 5: Solve for x
    x = 142,376,600.94/16,235.80
  6. Step 6: Final answer
    x = 8,769.30

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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.