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Finding the Fourth Proportional to 21,181.02, 31,770.06 and 7,142.22

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Solution

The fourth proportional to 21,181.02, 31,770.06 and 7,142.22 is: 10,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.02 : 31,770.06 = 7,142.22 : x
  2. Step 2: Convert to fraction form
    21,181.02/31,770.06 = 7,142.22/x
  3. Step 3: Cross multiply
    21,181.02x = 31,770.06 × 7,142.22
  4. Step 4: Simplify right side
    21,181.02x = 226,908,757.93
  5. Step 5: Solve for x
    x = 226,908,757.93/21,181.02
  6. Step 6: Final answer
    x = 10,712.83

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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.