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Finding the Fourth Proportional to 19,974.65, 29,965.50 and 6,823.94

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Solution

The fourth proportional to 19,974.65, 29,965.50 and 6,823.94 is: 10,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.65 : 29,965.50 = 6,823.94 : x
  2. Step 2: Convert to fraction form
    19,974.65/29,965.50 = 6,823.94/x
  3. Step 3: Cross multiply
    19,974.65x = 29,965.50 × 6,823.94
  4. Step 4: Simplify right side
    19,974.65x = 204,482,624.24
  5. Step 5: Solve for x
    x = 204,482,624.24/19,974.65
  6. Step 6: Final answer
    x = 10,237.11

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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.