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Finding the Fourth Proportional to 28,261.50, 42,399.81 and 9,793.50

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Solution

The fourth proportional to 28,261.50, 42,399.81 and 9,793.50 is: 14,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,261.50 : 42,399.81 = 9,793.50 : x
  2. Step 2: Convert to fraction form
    28,261.50/42,399.81 = 9,793.50/x
  3. Step 3: Cross multiply
    28,261.50x = 42,399.81 × 9,793.50
  4. Step 4: Simplify right side
    28,261.50x = 415,242,539.24
  5. Step 5: Solve for x
    x = 415,242,539.24/28,261.50
  6. Step 6: Final answer
    x = 14,692.87

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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.