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Finding the Fourth Proportional to 16,003.70, 23,998.35 and 7,234.10

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Solution

The fourth proportional to 16,003.70, 23,998.35 and 7,234.10 is: 10,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.70 : 23,998.35 = 7,234.10 : x
  2. Step 2: Convert to fraction form
    16,003.70/23,998.35 = 7,234.10/x
  3. Step 3: Cross multiply
    16,003.70x = 23,998.35 × 7,234.10
  4. Step 4: Simplify right side
    16,003.70x = 173,606,463.74
  5. Step 5: Solve for x
    x = 173,606,463.74/16,003.70
  6. Step 6: Final answer
    x = 10,847.90

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1.5x scale

Why These Related Problems?

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