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Finding the Fourth Proportional to 19,540, 26,965.20 and 11,156.72

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Solution

The fourth proportional to 19,540, 26,965.20 and 11,156.72 is: 15,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540 : 26,965.20 = 11,156.72 : x
  2. Step 2: Convert to fraction form
    19,540/26,965.20 = 11,156.72/x
  3. Step 3: Cross multiply
    19,540x = 26,965.20 × 11,156.72
  4. Step 4: Simplify right side
    19,540x = 300,843,186.14
  5. Step 5: Solve for x
    x = 300,843,186.14/19,540
  6. Step 6: Final answer
    x = 15,396.27

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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.