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Finding the Fourth Proportional to 17,568.96, 24,241.20 and 10,494

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Solution

The fourth proportional to 17,568.96, 24,241.20 and 10,494 is: 14,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.96 : 24,241.20 = 10,494 : x
  2. Step 2: Convert to fraction form
    17,568.96/24,241.20 = 10,494/x
  3. Step 3: Cross multiply
    17,568.96x = 24,241.20 × 10,494
  4. Step 4: Simplify right side
    17,568.96x = 254,387,152.80
  5. Step 5: Solve for x
    x = 254,387,152.80/17,568.96
  6. Step 6: Final answer
    x = 14,479.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.