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Finding the Fourth Proportional to 23,302.44, 32,157.51 and 13,742.43

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Solution

The fourth proportional to 23,302.44, 32,157.51 and 13,742.43 is: 18,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.44 : 32,157.51 = 13,742.43 : x
  2. Step 2: Convert to fraction form
    23,302.44/32,157.51 = 13,742.43/x
  3. Step 3: Cross multiply
    23,302.44x = 32,157.51 × 13,742.43
  4. Step 4: Simplify right side
    23,302.44x = 441,922,330.15
  5. Step 5: Solve for x
    x = 441,922,330.15/23,302.44
  6. Step 6: Final answer
    x = 18,964.64

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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.