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Finding the Fourth Proportional to 17,724.26, 24,459.48 and 9,766.41

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Solution

The fourth proportional to 17,724.26, 24,459.48 and 9,766.41 is: 13,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.26 : 24,459.48 = 9,766.41 : x
  2. Step 2: Convert to fraction form
    17,724.26/24,459.48 = 9,766.41/x
  3. Step 3: Cross multiply
    17,724.26x = 24,459.48 × 9,766.41
  4. Step 4: Simplify right side
    17,724.26x = 238,881,310.07
  5. Step 5: Solve for x
    x = 238,881,310.07/17,724.26
  6. Step 6: Final answer
    x = 13,477.65

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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.