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Finding the Fourth Proportional to 19,949.76, 27,540 and 11,564.64

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Solution

The fourth proportional to 19,949.76, 27,540 and 11,564.64 is: 15,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,949.76 : 27,540 = 11,564.64 : x
  2. Step 2: Convert to fraction form
    19,949.76/27,540 = 11,564.64/x
  3. Step 3: Cross multiply
    19,949.76x = 27,540 × 11,564.64
  4. Step 4: Simplify right side
    19,949.76x = 318,490,185.60
  5. Step 5: Solve for x
    x = 318,490,185.60/19,949.76
  6. Step 6: Final answer
    x = 15,964.61

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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.