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Finding the Fourth Proportional to 17,717.66, 24,450.08 and 9,760.63

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Solution

The fourth proportional to 17,717.66, 24,450.08 and 9,760.63 is: 13,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.66 : 24,450.08 = 9,760.63 : x
  2. Step 2: Convert to fraction form
    17,717.66/24,450.08 = 9,760.63/x
  3. Step 3: Cross multiply
    17,717.66x = 24,450.08 × 9,760.63
  4. Step 4: Simplify right side
    17,717.66x = 238,648,184.35
  5. Step 5: Solve for x
    x = 238,648,184.35/17,717.66
  6. Step 6: Final answer
    x = 13,469.51

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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.