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Finding the Fourth Proportional to 28,131.24, 42,204.24 and 8,409.36

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Solution

The fourth proportional to 28,131.24, 42,204.24 and 8,409.36 is: 12,616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,131.24 : 42,204.24 = 8,409.36 : x
  2. Step 2: Convert to fraction form
    28,131.24/42,204.24 = 8,409.36/x
  3. Step 3: Cross multiply
    28,131.24x = 42,204.24 × 8,409.36
  4. Step 4: Simplify right side
    28,131.24x = 354,910,647.69
  5. Step 5: Solve for x
    x = 354,910,647.69/28,131.24
  6. Step 6: Final answer
    x = 12,616.25

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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.