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Finding the Fourth Proportional to 24,323.80, 33,568.42 and 13,714.12

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Solution

The fourth proportional to 24,323.80, 33,568.42 and 13,714.12 is: 18,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.80 : 33,568.42 = 13,714.12 : x
  2. Step 2: Convert to fraction form
    24,323.80/33,568.42 = 13,714.12/x
  3. Step 3: Cross multiply
    24,323.80x = 33,568.42 × 13,714.12
  4. Step 4: Simplify right side
    24,323.80x = 460,361,340.09
  5. Step 5: Solve for x
    x = 460,361,340.09/24,323.80
  6. Step 6: Final answer
    x = 18,926.37

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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.