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Finding the Fourth Proportional to 23,722.71, 32,736.02 and 13,111.64

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Solution

The fourth proportional to 23,722.71, 32,736.02 and 13,111.64 is: 18,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.71 : 32,736.02 = 13,111.64 : x
  2. Step 2: Convert to fraction form
    23,722.71/32,736.02 = 13,111.64/x
  3. Step 3: Cross multiply
    23,722.71x = 32,736.02 × 13,111.64
  4. Step 4: Simplify right side
    23,722.71x = 429,222,680.03
  5. Step 5: Solve for x
    x = 429,222,680.03/23,722.71
  6. Step 6: Final answer
    x = 18,093.32

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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.