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Finding the Fourth Proportional to 17,704.69, 24,429.89 and 10,046.77

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Solution

The fourth proportional to 17,704.69, 24,429.89 and 10,046.77 is: 13,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.69 : 24,429.89 = 10,046.77 : x
  2. Step 2: Convert to fraction form
    17,704.69/24,429.89 = 10,046.77/x
  3. Step 3: Cross multiply
    17,704.69x = 24,429.89 × 10,046.77
  4. Step 4: Simplify right side
    17,704.69x = 245,441,450.00
  5. Step 5: Solve for x
    x = 245,441,450.00/17,704.69
  6. Step 6: Final answer
    x = 13,863.08

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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.