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Finding the Fourth Proportional to 23,236.32, 32,066.72 and 13,164.48

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Solution

The fourth proportional to 23,236.32, 32,066.72 and 13,164.48 is: 18,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,236.32 : 32,066.72 = 13,164.48 : x
  2. Step 2: Convert to fraction form
    23,236.32/32,066.72 = 13,164.48/x
  3. Step 3: Cross multiply
    23,236.32x = 32,066.72 × 13,164.48
  4. Step 4: Simplify right side
    23,236.32x = 422,141,694.11
  5. Step 5: Solve for x
    x = 422,141,694.11/23,236.32
  6. Step 6: Final answer
    x = 18,167.32

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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.