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Finding the Fourth Proportional to 23,435.36, 32,340.80 and 12,824.99

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Solution

The fourth proportional to 23,435.36, 32,340.80 and 12,824.99 is: 17,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.36 : 32,340.80 = 12,824.99 : x
  2. Step 2: Convert to fraction form
    23,435.36/32,340.80 = 12,824.99/x
  3. Step 3: Cross multiply
    23,435.36x = 32,340.80 × 12,824.99
  4. Step 4: Simplify right side
    23,435.36x = 414,770,436.59
  5. Step 5: Solve for x
    x = 414,770,436.59/23,435.36
  6. Step 6: Final answer
    x = 17,698.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.