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Finding the Fourth Proportional to 17,219.44, 23,763 and 9,766

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Solution

The fourth proportional to 17,219.44, 23,763 and 9,766 is: 13,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.44 : 23,763 = 9,766 : x
  2. Step 2: Convert to fraction form
    17,219.44/23,763 = 9,766/x
  3. Step 3: Cross multiply
    17,219.44x = 23,763 × 9,766
  4. Step 4: Simplify right side
    17,219.44x = 232,069,458
  5. Step 5: Solve for x
    x = 232,069,458/17,219.44
  6. Step 6: Final answer
    x = 13,477.18

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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.