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Finding the Fourth Proportional to 12,271.70, 18,493.92 and 11,103.28

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Solution

The fourth proportional to 12,271.70, 18,493.92 and 11,103.28 is: 16,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.70 : 18,493.92 = 11,103.28 : x
  2. Step 2: Convert to fraction form
    12,271.70/18,493.92 = 11,103.28/x
  3. Step 3: Cross multiply
    12,271.70x = 18,493.92 × 11,103.28
  4. Step 4: Simplify right side
    12,271.70x = 205,343,125.82
  5. Step 5: Solve for x
    x = 205,343,125.82/12,271.70
  6. Step 6: Final answer
    x = 16,733.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.