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Finding the Fourth Proportional to 16,331.78, 24,496.36 and 5,235.50

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Solution

The fourth proportional to 16,331.78, 24,496.36 and 5,235.50 is: 7,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.78 : 24,496.36 = 5,235.50 : x
  2. Step 2: Convert to fraction form
    16,331.78/24,496.36 = 5,235.50/x
  3. Step 3: Cross multiply
    16,331.78x = 24,496.36 × 5,235.50
  4. Step 4: Simplify right side
    16,331.78x = 128,250,740.93
  5. Step 5: Solve for x
    x = 128,250,740.93/16,331.78
  6. Step 6: Final answer
    x = 7,852.83

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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.