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Finding the Fourth Proportional to 17,786.25, 24,543.72 and 9,828.63

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Solution

The fourth proportional to 17,786.25, 24,543.72 and 9,828.63 is: 13,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.25 : 24,543.72 = 9,828.63 : x
  2. Step 2: Convert to fraction form
    17,786.25/24,543.72 = 9,828.63/x
  3. Step 3: Cross multiply
    17,786.25x = 24,543.72 × 9,828.63
  4. Step 4: Simplify right side
    17,786.25x = 241,231,142.70
  5. Step 5: Solve for x
    x = 241,231,142.70/17,786.25
  6. Step 6: Final answer
    x = 13,562.79

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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.