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Finding the Fourth Proportional to 17,763.20, 24,513.24 and 9,805.42

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Solution

The fourth proportional to 17,763.20, 24,513.24 and 9,805.42 is: 13,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.20 : 24,513.24 = 9,805.42 : x
  2. Step 2: Convert to fraction form
    17,763.20/24,513.24 = 9,805.42/x
  3. Step 3: Cross multiply
    17,763.20x = 24,513.24 × 9,805.42
  4. Step 4: Simplify right side
    17,763.20x = 240,362,626.02
  5. Step 5: Solve for x
    x = 240,362,626.02/17,763.20
  6. Step 6: Final answer
    x = 13,531.49

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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.