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Finding the Fourth Proportional to 11,837.41, 17,758.28 and 9,189.25

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Solution

The fourth proportional to 11,837.41, 17,758.28 and 9,189.25 is: 13,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.41 : 17,758.28 = 9,189.25 : x
  2. Step 2: Convert to fraction form
    11,837.41/17,758.28 = 9,189.25/x
  3. Step 3: Cross multiply
    11,837.41x = 17,758.28 × 9,189.25
  4. Step 4: Simplify right side
    11,837.41x = 163,185,274.49
  5. Step 5: Solve for x
    x = 163,185,274.49/11,837.41
  6. Step 6: Final answer
    x = 13,785.56

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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.