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Finding the Fourth Proportional to 24,409.20, 36,615.40 and 6,879.60

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Solution

The fourth proportional to 24,409.20, 36,615.40 and 6,879.60 is: 10,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.20 : 36,615.40 = 6,879.60 : x
  2. Step 2: Convert to fraction form
    24,409.20/36,615.40 = 6,879.60/x
  3. Step 3: Cross multiply
    24,409.20x = 36,615.40 × 6,879.60
  4. Step 4: Simplify right side
    24,409.20x = 251,899,305.84
  5. Step 5: Solve for x
    x = 251,899,305.84/24,409.20
  6. Step 6: Final answer
    x = 10,319.85

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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.