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Finding the Fourth Proportional to 17,763.68, 24,513.56 and 9,806.16

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Solution

The fourth proportional to 17,763.68, 24,513.56 and 9,806.16 is: 13,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.68 : 24,513.56 = 9,806.16 : x
  2. Step 2: Convert to fraction form
    17,763.68/24,513.56 = 9,806.16/x
  3. Step 3: Cross multiply
    17,763.68x = 24,513.56 × 9,806.16
  4. Step 4: Simplify right side
    17,763.68x = 240,383,891.53
  5. Step 5: Solve for x
    x = 240,383,891.53/17,763.68
  6. Step 6: Final answer
    x = 13,532.33

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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.