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Finding the Fourth Proportional to 17,566.68, 24,241.70 and 9,608.84

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Solution

The fourth proportional to 17,566.68, 24,241.70 and 9,608.84 is: 13,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,566.68 : 24,241.70 = 9,608.84 : x
  2. Step 2: Convert to fraction form
    17,566.68/24,241.70 = 9,608.84/x
  3. Step 3: Cross multiply
    17,566.68x = 24,241.70 × 9,608.84
  4. Step 4: Simplify right side
    17,566.68x = 232,934,519.44
  5. Step 5: Solve for x
    x = 232,934,519.44/17,566.68
  6. Step 6: Final answer
    x = 13,260.02

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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.