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Finding the Fourth Proportional to 18,392.97, 27,584.50 and 7,857.76

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Solution

The fourth proportional to 18,392.97, 27,584.50 and 7,857.76 is: 11,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,392.97 : 27,584.50 = 7,857.76 : x
  2. Step 2: Convert to fraction form
    18,392.97/27,584.50 = 7,857.76/x
  3. Step 3: Cross multiply
    18,392.97x = 27,584.50 × 7,857.76
  4. Step 4: Simplify right side
    18,392.97x = 216,752,358.57
  5. Step 5: Solve for x
    x = 216,752,358.57/18,392.97
  6. Step 6: Final answer
    x = 11,784.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.