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Finding the Fourth Proportional to 17,763, 24,513.02 and 9,805.20

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Solution

The fourth proportional to 17,763, 24,513.02 and 9,805.20 is: 13,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763 : 24,513.02 = 9,805.20 : x
  2. Step 2: Convert to fraction form
    17,763/24,513.02 = 9,805.20/x
  3. Step 3: Cross multiply
    17,763x = 24,513.02 × 9,805.20
  4. Step 4: Simplify right side
    17,763x = 240,355,063.70
  5. Step 5: Solve for x
    x = 240,355,063.70/17,763
  6. Step 6: Final answer
    x = 13,531.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.