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Finding the Fourth Proportional to 24,744.69, 37,107.90 and 10,706.76

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Solution

The fourth proportional to 24,744.69, 37,107.90 and 10,706.76 is: 16,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.69 : 37,107.90 = 10,706.76 : x
  2. Step 2: Convert to fraction form
    24,744.69/37,107.90 = 10,706.76/x
  3. Step 3: Cross multiply
    24,744.69x = 37,107.90 × 10,706.76
  4. Step 4: Simplify right side
    24,744.69x = 397,305,379.40
  5. Step 5: Solve for x
    x = 397,305,379.40/24,744.69
  6. Step 6: Final answer
    x = 16,056.19

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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.