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Finding the Fourth Proportional to 17,813.23, 24,581.80 and 10,259.39

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Solution

The fourth proportional to 17,813.23, 24,581.80 and 10,259.39 is: 14,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.23 : 24,581.80 = 10,259.39 : x
  2. Step 2: Convert to fraction form
    17,813.23/24,581.80 = 10,259.39/x
  3. Step 3: Cross multiply
    17,813.23x = 24,581.80 × 10,259.39
  4. Step 4: Simplify right side
    17,813.23x = 252,194,273.10
  5. Step 5: Solve for x
    x = 252,194,273.10/17,813.23
  6. Step 6: Final answer
    x = 14,157.69

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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.