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Finding the Fourth Proportional to 21,178.11, 31,770.09 and 7,142.15

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Solution

The fourth proportional to 21,178.11, 31,770.09 and 7,142.15 is: 10,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.11 : 31,770.09 = 7,142.15 : x
  2. Step 2: Convert to fraction form
    21,178.11/31,770.09 = 7,142.15/x
  3. Step 3: Cross multiply
    21,178.11x = 31,770.09 × 7,142.15
  4. Step 4: Simplify right side
    21,178.11x = 226,906,748.29
  5. Step 5: Solve for x
    x = 226,906,748.29/21,178.11
  6. Step 6: Final answer
    x = 10,714.21

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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.