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Finding the Fourth Proportional to 17,640.30, 24,344.49 and 9,682.45

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Solution

The fourth proportional to 17,640.30, 24,344.49 and 9,682.45 is: 13,362.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.30 : 24,344.49 = 9,682.45 : x
  2. Step 2: Convert to fraction form
    17,640.30/24,344.49 = 9,682.45/x
  3. Step 3: Cross multiply
    17,640.30x = 24,344.49 × 9,682.45
  4. Step 4: Simplify right side
    17,640.30x = 235,714,307.20
  5. Step 5: Solve for x
    x = 235,714,307.20/17,640.30
  6. Step 6: Final answer
    x = 13,362.26

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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.