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Finding the Fourth Proportional to 17,908.40, 24,713.16 and 9,950.24

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Solution

The fourth proportional to 17,908.40, 24,713.16 and 9,950.24 is: 13,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,908.40 : 24,713.16 = 9,950.24 : x
  2. Step 2: Convert to fraction form
    17,908.40/24,713.16 = 9,950.24/x
  3. Step 3: Cross multiply
    17,908.40x = 24,713.16 × 9,950.24
  4. Step 4: Simplify right side
    17,908.40x = 245,901,873.16
  5. Step 5: Solve for x
    x = 245,901,873.16/17,908.40
  6. Step 6: Final answer
    x = 13,731.09

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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.