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Finding the Fourth Proportional to 17,685.26, 24,405.65 and 9,728.02

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Solution

The fourth proportional to 17,685.26, 24,405.65 and 9,728.02 is: 13,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.26 : 24,405.65 = 9,728.02 : x
  2. Step 2: Convert to fraction form
    17,685.26/24,405.65 = 9,728.02/x
  3. Step 3: Cross multiply
    17,685.26x = 24,405.65 × 9,728.02
  4. Step 4: Simplify right side
    17,685.26x = 237,418,651.31
  5. Step 5: Solve for x
    x = 237,418,651.31/17,685.26
  6. Step 6: Final answer
    x = 13,424.66

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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.