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Finding the Fourth Proportional to 17,013.41, 23,473.08 and 10,296.89

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Solution

The fourth proportional to 17,013.41, 23,473.08 and 10,296.89 is: 14,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013.41 : 23,473.08 = 10,296.89 : x
  2. Step 2: Convert to fraction form
    17,013.41/23,473.08 = 10,296.89/x
  3. Step 3: Cross multiply
    17,013.41x = 23,473.08 × 10,296.89
  4. Step 4: Simplify right side
    17,013.41x = 241,699,605.36
  5. Step 5: Solve for x
    x = 241,699,605.36/17,013.41
  6. Step 6: Final answer
    x = 14,206.42

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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.