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Finding the Fourth Proportional to 19,546.76, 29,320.13 and 7,857.24

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Solution

The fourth proportional to 19,546.76, 29,320.13 and 7,857.24 is: 11,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.76 : 29,320.13 = 7,857.24 : x
  2. Step 2: Convert to fraction form
    19,546.76/29,320.13 = 7,857.24/x
  3. Step 3: Cross multiply
    19,546.76x = 29,320.13 × 7,857.24
  4. Step 4: Simplify right side
    19,546.76x = 230,375,258.96
  5. Step 5: Solve for x
    x = 230,375,258.96/19,546.76
  6. Step 6: Final answer
    x = 11,785.86

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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.