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Finding the Fourth Proportional to 11,896.32, 17,718.72 and 11,271.68

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Solution

The fourth proportional to 11,896.32, 17,718.72 and 11,271.68 is: 16,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.32 : 17,718.72 = 11,271.68 : x
  2. Step 2: Convert to fraction form
    11,896.32/17,718.72 = 11,271.68/x
  3. Step 3: Cross multiply
    11,896.32x = 17,718.72 × 11,271.68
  4. Step 4: Simplify right side
    11,896.32x = 199,719,741.85
  5. Step 5: Solve for x
    x = 199,719,741.85/11,896.32
  6. Step 6: Final answer
    x = 16,788.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.