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Finding the Fourth Proportional to 17,709.36, 24,431.22 and 10,153.97

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Solution

The fourth proportional to 17,709.36, 24,431.22 and 10,153.97 is: 14,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.36 : 24,431.22 = 10,153.97 : x
  2. Step 2: Convert to fraction form
    17,709.36/24,431.22 = 10,153.97/x
  3. Step 3: Cross multiply
    17,709.36x = 24,431.22 × 10,153.97
  4. Step 4: Simplify right side
    17,709.36x = 248,073,752.79
  5. Step 5: Solve for x
    x = 248,073,752.79/17,709.36
  6. Step 6: Final answer
    x = 14,008.06

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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.