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Finding the Fourth Proportional to 17,471.81, 24,107.90 and 10,303.97

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Solution

The fourth proportional to 17,471.81, 24,107.90 and 10,303.97 is: 14,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.81 : 24,107.90 = 10,303.97 : x
  2. Step 2: Convert to fraction form
    17,471.81/24,107.90 = 10,303.97/x
  3. Step 3: Cross multiply
    17,471.81x = 24,107.90 × 10,303.97
  4. Step 4: Simplify right side
    17,471.81x = 248,406,906.30
  5. Step 5: Solve for x
    x = 248,406,906.30/17,471.81
  6. Step 6: Final answer
    x = 14,217.58

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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.