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Finding the Fourth Proportional to 17,854.65, 24,626.33 and 12,824.04

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Solution

The fourth proportional to 17,854.65, 24,626.33 and 12,824.04 is: 17,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.65 : 24,626.33 = 12,824.04 : x
  2. Step 2: Convert to fraction form
    17,854.65/24,626.33 = 12,824.04/x
  3. Step 3: Cross multiply
    17,854.65x = 24,626.33 × 12,824.04
  4. Step 4: Simplify right side
    17,854.65x = 315,808,976.85
  5. Step 5: Solve for x
    x = 315,808,976.85/17,854.65
  6. Step 6: Final answer
    x = 17,687.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.