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Finding the Fourth Proportional to 17,704.24, 24,430.90 and 9,744.94

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Solution

The fourth proportional to 17,704.24, 24,430.90 and 9,744.94 is: 13,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.24 : 24,430.90 = 9,744.94 : x
  2. Step 2: Convert to fraction form
    17,704.24/24,430.90 = 9,744.94/x
  3. Step 3: Cross multiply
    17,704.24x = 24,430.90 × 9,744.94
  4. Step 4: Simplify right side
    17,704.24x = 238,077,654.65
  5. Step 5: Solve for x
    x = 238,077,654.65/17,704.24
  6. Step 6: Final answer
    x = 13,447.49

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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.