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Finding the Fourth Proportional to 17,765.34, 24,514.83 and 10,211.28

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Solution

The fourth proportional to 17,765.34, 24,514.83 and 10,211.28 is: 14,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.34 : 24,514.83 = 10,211.28 : x
  2. Step 2: Convert to fraction form
    17,765.34/24,514.83 = 10,211.28/x
  3. Step 3: Cross multiply
    17,765.34x = 24,514.83 × 10,211.28
  4. Step 4: Simplify right side
    17,765.34x = 250,327,793.28
  5. Step 5: Solve for x
    x = 250,327,793.28/17,765.34
  6. Step 6: Final answer
    x = 14,090.80

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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.