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Finding the Fourth Proportional to 19,785.60, 29,676.80 and 8,095.68

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Solution

The fourth proportional to 19,785.60, 29,676.80 and 8,095.68 is: 12,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.60 : 29,676.80 = 8,095.68 : x
  2. Step 2: Convert to fraction form
    19,785.60/29,676.80 = 8,095.68/x
  3. Step 3: Cross multiply
    19,785.60x = 29,676.80 × 8,095.68
  4. Step 4: Simplify right side
    19,785.60x = 240,253,876.22
  5. Step 5: Solve for x
    x = 240,253,876.22/19,785.60
  6. Step 6: Final answer
    x = 12,142.87

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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.