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Finding the Fourth Proportional to 17,680.33, 24,399.03 and 9,722.61

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Solution

The fourth proportional to 17,680.33, 24,399.03 and 9,722.61 is: 13,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.33 : 24,399.03 = 9,722.61 : x
  2. Step 2: Convert to fraction form
    17,680.33/24,399.03 = 9,722.61/x
  3. Step 3: Cross multiply
    17,680.33x = 24,399.03 × 9,722.61
  4. Step 4: Simplify right side
    17,680.33x = 237,222,253.07
  5. Step 5: Solve for x
    x = 237,222,253.07/17,680.33
  6. Step 6: Final answer
    x = 13,417.30

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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.