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Finding the Fourth Proportional to 19,714.29, 29,574.78 and 8,620.73

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Solution

The fourth proportional to 19,714.29, 29,574.78 and 8,620.73 is: 12,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.29 : 29,574.78 = 8,620.73 : x
  2. Step 2: Convert to fraction form
    19,714.29/29,574.78 = 8,620.73/x
  3. Step 3: Cross multiply
    19,714.29x = 29,574.78 × 8,620.73
  4. Step 4: Simplify right side
    19,714.29x = 254,956,234.80
  5. Step 5: Solve for x
    x = 254,956,234.80/19,714.29
  6. Step 6: Final answer
    x = 12,932.56

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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.