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Finding the Fourth Proportional to 11,833.97, 17,730.06 and 10,546.88

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Solution

The fourth proportional to 11,833.97, 17,730.06 and 10,546.88 is: 15,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.97 : 17,730.06 = 10,546.88 : x
  2. Step 2: Convert to fraction form
    11,833.97/17,730.06 = 10,546.88/x
  3. Step 3: Cross multiply
    11,833.97x = 17,730.06 × 10,546.88
  4. Step 4: Simplify right side
    11,833.97x = 186,996,815.21
  5. Step 5: Solve for x
    x = 186,996,815.21/11,833.97
  6. Step 6: Final answer
    x = 15,801.70

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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.