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Finding the Fourth Proportional to 17,813.01, 24,581.22 and 10,259.64

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Solution

The fourth proportional to 17,813.01, 24,581.22 and 10,259.64 is: 14,157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.01 : 24,581.22 = 10,259.64 : x
  2. Step 2: Convert to fraction form
    17,813.01/24,581.22 = 10,259.64/x
  3. Step 3: Cross multiply
    17,813.01x = 24,581.22 × 10,259.64
  4. Step 4: Simplify right side
    17,813.01x = 252,194,467.96
  5. Step 5: Solve for x
    x = 252,194,467.96/17,813.01
  6. Step 6: Final answer
    x = 14,157.88

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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.