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Finding the Fourth Proportional to 17,055.24, 23,537.97 and 9,502.80

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Solution

The fourth proportional to 17,055.24, 23,537.97 and 9,502.80 is: 13,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055.24 : 23,537.97 = 9,502.80 : x
  2. Step 2: Convert to fraction form
    17,055.24/23,537.97 = 9,502.80/x
  3. Step 3: Cross multiply
    17,055.24x = 23,537.97 × 9,502.80
  4. Step 4: Simplify right side
    17,055.24x = 223,676,573.80
  5. Step 5: Solve for x
    x = 223,676,573.80/17,055.24
  6. Step 6: Final answer
    x = 13,114.83

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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.