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Finding the Fourth Proportional to 11,785.14, 17,638.83 and 10,489.14

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Solution

The fourth proportional to 11,785.14, 17,638.83 and 10,489.14 is: 15,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.14 : 17,638.83 = 10,489.14 : x
  2. Step 2: Convert to fraction form
    11,785.14/17,638.83 = 10,489.14/x
  3. Step 3: Cross multiply
    11,785.14x = 17,638.83 × 10,489.14
  4. Step 4: Simplify right side
    11,785.14x = 185,016,157.31
  5. Step 5: Solve for x
    x = 185,016,157.31/11,785.14
  6. Step 6: Final answer
    x = 15,699.11

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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.