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Finding the Fourth Proportional to 17,786.09, 24,543.59 and 9,828.24

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Solution

The fourth proportional to 17,786.09, 24,543.59 and 9,828.24 is: 13,562.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.09 : 24,543.59 = 9,828.24 : x
  2. Step 2: Convert to fraction form
    17,786.09/24,543.59 = 9,828.24/x
  3. Step 3: Cross multiply
    17,786.09x = 24,543.59 × 9,828.24
  4. Step 4: Simplify right side
    17,786.09x = 241,220,243.84
  5. Step 5: Solve for x
    x = 241,220,243.84/17,786.09
  6. Step 6: Final answer
    x = 13,562.30

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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.