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Finding the Fourth Proportional to 17,604.80, 24,294.71 and 9,647

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Solution

The fourth proportional to 17,604.80, 24,294.71 and 9,647 is: 13,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.80 : 24,294.71 = 9,647 : x
  2. Step 2: Convert to fraction form
    17,604.80/24,294.71 = 9,647/x
  3. Step 3: Cross multiply
    17,604.80x = 24,294.71 × 9,647
  4. Step 4: Simplify right side
    17,604.80x = 234,371,067.37
  5. Step 5: Solve for x
    x = 234,371,067.37/17,604.80
  6. Step 6: Final answer
    x = 13,312.91

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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.