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Finding the Fourth Proportional to 17,471.57, 24,099.89 and 10,662.48

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Solution

The fourth proportional to 17,471.57, 24,099.89 and 10,662.48 is: 14,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.57 : 24,099.89 = 10,662.48 : x
  2. Step 2: Convert to fraction form
    17,471.57/24,099.89 = 10,662.48/x
  3. Step 3: Cross multiply
    17,471.57x = 24,099.89 × 10,662.48
  4. Step 4: Simplify right side
    17,471.57x = 256,964,541.81
  5. Step 5: Solve for x
    x = 256,964,541.81/17,471.57
  6. Step 6: Final answer
    x = 14,707.59

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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.