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Finding the Fourth Proportional to 17,686.26, 24,407.08 and 9,728.33

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Solution

The fourth proportional to 17,686.26, 24,407.08 and 9,728.33 is: 13,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.26 : 24,407.08 = 9,728.33 : x
  2. Step 2: Convert to fraction form
    17,686.26/24,407.08 = 9,728.33/x
  3. Step 3: Cross multiply
    17,686.26x = 24,407.08 × 9,728.33
  4. Step 4: Simplify right side
    17,686.26x = 237,439,982.22
  5. Step 5: Solve for x
    x = 237,439,982.22/17,686.26
  6. Step 6: Final answer
    x = 13,425.11

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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.