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Finding the Fourth Proportional to 12,689.45, 17,513.23 and 7,385.97

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Solution

The fourth proportional to 12,689.45, 17,513.23 and 7,385.97 is: 10,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.45 : 17,513.23 = 7,385.97 : x
  2. Step 2: Convert to fraction form
    12,689.45/17,513.23 = 7,385.97/x
  3. Step 3: Cross multiply
    12,689.45x = 17,513.23 × 7,385.97
  4. Step 4: Simplify right side
    12,689.45x = 129,352,252.44
  5. Step 5: Solve for x
    x = 129,352,252.44/12,689.45
  6. Step 6: Final answer
    x = 10,193.69

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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.