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Finding the Fourth Proportional to 17,786.23, 24,544.76 and 9,828.59

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Solution

The fourth proportional to 17,786.23, 24,544.76 and 9,828.59 is: 13,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.23 : 24,544.76 = 9,828.59 : x
  2. Step 2: Convert to fraction form
    17,786.23/24,544.76 = 9,828.59/x
  3. Step 3: Cross multiply
    17,786.23x = 24,544.76 × 9,828.59
  4. Step 4: Simplify right side
    17,786.23x = 241,240,210.82
  5. Step 5: Solve for x
    x = 241,240,210.82/17,786.23
  6. Step 6: Final answer
    x = 13,563.32

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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.