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Finding the Fourth Proportional to 21,305.43, 31,958.14 and 6,514.34

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Solution

The fourth proportional to 21,305.43, 31,958.14 and 6,514.34 is: 9,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.43 : 31,958.14 = 6,514.34 : x
  2. Step 2: Convert to fraction form
    21,305.43/31,958.14 = 6,514.34/x
  3. Step 3: Cross multiply
    21,305.43x = 31,958.14 × 6,514.34
  4. Step 4: Simplify right side
    21,305.43x = 208,186,157.16
  5. Step 5: Solve for x
    x = 208,186,157.16/21,305.43
  6. Step 6: Final answer
    x = 9,771.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.