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Finding the Fourth Proportional to 17,528.24, 24,188 and 9,568.88

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Solution

The fourth proportional to 17,528.24, 24,188 and 9,568.88 is: 13,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,528.24 : 24,188 = 9,568.88 : x
  2. Step 2: Convert to fraction form
    17,528.24/24,188 = 9,568.88/x
  3. Step 3: Cross multiply
    17,528.24x = 24,188 × 9,568.88
  4. Step 4: Simplify right side
    17,528.24x = 231,452,069.44
  5. Step 5: Solve for x
    x = 231,452,069.44/17,528.24
  6. Step 6: Final answer
    x = 13,204.52

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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.