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Finding the Fourth Proportional to 19,785.44, 29,674.98 and 7,311.35

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Solution

The fourth proportional to 19,785.44, 29,674.98 and 7,311.35 is: 10,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.44 : 29,674.98 = 7,311.35 : x
  2. Step 2: Convert to fraction form
    19,785.44/29,674.98 = 7,311.35/x
  3. Step 3: Cross multiply
    19,785.44x = 29,674.98 × 7,311.35
  4. Step 4: Simplify right side
    19,785.44x = 216,964,016.65
  5. Step 5: Solve for x
    x = 216,964,016.65/19,785.44
  6. Step 6: Final answer
    x = 10,965.85

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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.