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Finding the Fourth Proportional to 17,711.65, 24,329.12 and 17,624.17

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Solution

The fourth proportional to 17,711.65, 24,329.12 and 17,624.17 is: 24,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.65 : 24,329.12 = 17,624.17 : x
  2. Step 2: Convert to fraction form
    17,711.65/24,329.12 = 17,624.17/x
  3. Step 3: Cross multiply
    17,711.65x = 24,329.12 × 17,624.17
  4. Step 4: Simplify right side
    17,711.65x = 428,780,546.83
  5. Step 5: Solve for x
    x = 428,780,546.83/17,711.65
  6. Step 6: Final answer
    x = 24,208.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.