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Finding the Fourth Proportional to 23,852.64, 32,914.44 and 13,241.64

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Solution

The fourth proportional to 23,852.64, 32,914.44 and 13,241.64 is: 18,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.64 : 32,914.44 = 13,241.64 : x
  2. Step 2: Convert to fraction form
    23,852.64/32,914.44 = 13,241.64/x
  3. Step 3: Cross multiply
    23,852.64x = 32,914.44 × 13,241.64
  4. Step 4: Simplify right side
    23,852.64x = 435,841,165.28
  5. Step 5: Solve for x
    x = 435,841,165.28/23,852.64
  6. Step 6: Final answer
    x = 18,272.24

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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.