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Finding the Fourth Proportional to 17,682.49, 24,398.58 and 10,514.80

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Solution

The fourth proportional to 17,682.49, 24,398.58 and 10,514.80 is: 14,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.49 : 24,398.58 = 10,514.80 : x
  2. Step 2: Convert to fraction form
    17,682.49/24,398.58 = 10,514.80/x
  3. Step 3: Cross multiply
    17,682.49x = 24,398.58 × 10,514.80
  4. Step 4: Simplify right side
    17,682.49x = 256,546,188.98
  5. Step 5: Solve for x
    x = 256,546,188.98/17,682.49
  6. Step 6: Final answer
    x = 14,508.49

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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.