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Finding the Fourth Proportional to 17,471.73, 24,109.16 and 10,204.05

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Solution

The fourth proportional to 17,471.73, 24,109.16 and 10,204.05 is: 14,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.73 : 24,109.16 = 10,204.05 : x
  2. Step 2: Convert to fraction form
    17,471.73/24,109.16 = 10,204.05/x
  3. Step 3: Cross multiply
    17,471.73x = 24,109.16 × 10,204.05
  4. Step 4: Simplify right side
    17,471.73x = 246,011,023.08
  5. Step 5: Solve for x
    x = 246,011,023.08/17,471.73
  6. Step 6: Final answer
    x = 14,080.52

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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.