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Finding the Fourth Proportional to 23,674.14, 32,672.16 and 13,606.10

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Solution

The fourth proportional to 23,674.14, 32,672.16 and 13,606.10 is: 18,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674.14 : 32,672.16 = 13,606.10 : x
  2. Step 2: Convert to fraction form
    23,674.14/32,672.16 = 13,606.10/x
  3. Step 3: Cross multiply
    23,674.14x = 32,672.16 × 13,606.10
  4. Step 4: Simplify right side
    23,674.14x = 444,540,512.82
  5. Step 5: Solve for x
    x = 444,540,512.82/23,674.14
  6. Step 6: Final answer
    x = 18,777.47

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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.