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Finding the Fourth Proportional to 16,157.70, 24,226.62 and 6,285.48

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Solution

The fourth proportional to 16,157.70, 24,226.62 and 6,285.48 is: 9,424.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,157.70 : 24,226.62 = 6,285.48 : x
  2. Step 2: Convert to fraction form
    16,157.70/24,226.62 = 6,285.48/x
  3. Step 3: Cross multiply
    16,157.70x = 24,226.62 × 6,285.48
  4. Step 4: Simplify right side
    16,157.70x = 152,275,935.48
  5. Step 5: Solve for x
    x = 152,275,935.48/16,157.70
  6. Step 6: Final answer
    x = 9,424.36

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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.