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Finding the Fourth Proportional to 17,753.81, 24,500.36 and 9,796.04

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Solution

The fourth proportional to 17,753.81, 24,500.36 and 9,796.04 is: 13,518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,753.81 : 24,500.36 = 9,796.04 : x
  2. Step 2: Convert to fraction form
    17,753.81/24,500.36 = 9,796.04/x
  3. Step 3: Cross multiply
    17,753.81x = 24,500.36 × 9,796.04
  4. Step 4: Simplify right side
    17,753.81x = 240,006,506.57
  5. Step 5: Solve for x
    x = 240,006,506.57/17,753.81
  6. Step 6: Final answer
    x = 13,518.59

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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.