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Finding the Fourth Proportional to 28,331.48, 42,496.74 and 9,863

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Solution

The fourth proportional to 28,331.48, 42,496.74 and 9,863 is: 14,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,331.48 : 42,496.74 = 9,863 : x
  2. Step 2: Convert to fraction form
    28,331.48/42,496.74 = 9,863/x
  3. Step 3: Cross multiply
    28,331.48x = 42,496.74 × 9,863
  4. Step 4: Simplify right side
    28,331.48x = 419,145,346.62
  5. Step 5: Solve for x
    x = 419,145,346.62/28,331.48
  6. Step 6: Final answer
    x = 14,794.33

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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.