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Finding the Fourth Proportional to 17,568.08, 24,241.56 and 10,493

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Solution

The fourth proportional to 17,568.08, 24,241.56 and 10,493 is: 14,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.08 : 24,241.56 = 10,493 : x
  2. Step 2: Convert to fraction form
    17,568.08/24,241.56 = 10,493/x
  3. Step 3: Cross multiply
    17,568.08x = 24,241.56 × 10,493
  4. Step 4: Simplify right side
    17,568.08x = 254,366,689.08
  5. Step 5: Solve for x
    x = 254,366,689.08/17,568.08
  6. Step 6: Final answer
    x = 14,478.91

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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.