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Finding the Fourth Proportional to 23,496.32, 32,431.04 and 14,538.64

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Solution

The fourth proportional to 23,496.32, 32,431.04 and 14,538.64 is: 20,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.32 : 32,431.04 = 14,538.64 : x
  2. Step 2: Convert to fraction form
    23,496.32/32,431.04 = 14,538.64/x
  3. Step 3: Cross multiply
    23,496.32x = 32,431.04 × 14,538.64
  4. Step 4: Simplify right side
    23,496.32x = 471,503,215.39
  5. Step 5: Solve for x
    x = 471,503,215.39/23,496.32
  6. Step 6: Final answer
    x = 20,067.11

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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.