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Finding the Fourth Proportional to 17,204.74, 23,743.49 and 9,653.47

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Solution

The fourth proportional to 17,204.74, 23,743.49 and 9,653.47 is: 13,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.74 : 23,743.49 = 9,653.47 : x
  2. Step 2: Convert to fraction form
    17,204.74/23,743.49 = 9,653.47/x
  3. Step 3: Cross multiply
    17,204.74x = 23,743.49 × 9,653.47
  4. Step 4: Simplify right side
    17,204.74x = 229,206,960.78
  5. Step 5: Solve for x
    x = 229,206,960.78/17,204.74
  6. Step 6: Final answer
    x = 13,322.32

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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.