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Finding the Fourth Proportional to 12,846.08, 17,727.36 and 7,256.96

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Solution

The fourth proportional to 12,846.08, 17,727.36 and 7,256.96 is: 10,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.08 : 17,727.36 = 7,256.96 : x
  2. Step 2: Convert to fraction form
    12,846.08/17,727.36 = 7,256.96/x
  3. Step 3: Cross multiply
    12,846.08x = 17,727.36 × 7,256.96
  4. Step 4: Simplify right side
    12,846.08x = 128,646,742.43
  5. Step 5: Solve for x
    x = 128,646,742.43/12,846.08
  6. Step 6: Final answer
    x = 10,014.47

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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.