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Finding the Fourth Proportional to 17,763.57, 24,513.72 and 9,806.34

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Solution

The fourth proportional to 17,763.57, 24,513.72 and 9,806.34 is: 13,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.57 : 24,513.72 = 9,806.34 : x
  2. Step 2: Convert to fraction form
    17,763.57/24,513.72 = 9,806.34/x
  3. Step 3: Cross multiply
    17,763.57x = 24,513.72 × 9,806.34
  4. Step 4: Simplify right side
    17,763.57x = 240,389,872.98
  5. Step 5: Solve for x
    x = 240,389,872.98/17,763.57
  6. Step 6: Final answer
    x = 13,532.75

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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.