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Finding the Fourth Proportional to 17,724.34, 24,458.49 and 9,766.12

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Solution

The fourth proportional to 17,724.34, 24,458.49 and 9,766.12 is: 13,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.34 : 24,458.49 = 9,766.12 : x
  2. Step 2: Convert to fraction form
    17,724.34/24,458.49 = 9,766.12/x
  3. Step 3: Cross multiply
    17,724.34x = 24,458.49 × 9,766.12
  4. Step 4: Simplify right side
    17,724.34x = 238,864,548.36
  5. Step 5: Solve for x
    x = 238,864,548.36/17,724.34
  6. Step 6: Final answer
    x = 13,476.64

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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.