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Finding the Fourth Proportional to 20,095, 27,731.14 and 11,263

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Solution

The fourth proportional to 20,095, 27,731.14 and 11,263 is: 15,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095 : 27,731.14 = 11,263 : x
  2. Step 2: Convert to fraction form
    20,095/27,731.14 = 11,263/x
  3. Step 3: Cross multiply
    20,095x = 27,731.14 × 11,263
  4. Step 4: Simplify right side
    20,095x = 312,335,829.82
  5. Step 5: Solve for x
    x = 312,335,829.82/20,095
  6. Step 6: Final answer
    x = 15,542.96

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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.