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Finding the Fourth Proportional to 17,722.79, 24,460.97 and 10,174.19

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Solution

The fourth proportional to 17,722.79, 24,460.97 and 10,174.19 is: 14,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.79 : 24,460.97 = 10,174.19 : x
  2. Step 2: Convert to fraction form
    17,722.79/24,460.97 = 10,174.19/x
  3. Step 3: Cross multiply
    17,722.79x = 24,460.97 × 10,174.19
  4. Step 4: Simplify right side
    17,722.79x = 248,870,383.19
  5. Step 5: Solve for x
    x = 248,870,383.19/17,722.79
  6. Step 6: Final answer
    x = 14,042.40

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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.