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Finding the Fourth Proportional to 21,161.66, 31,720.01 and 7,108.97

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Solution

The fourth proportional to 21,161.66, 31,720.01 and 7,108.97 is: 10,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.66 : 31,720.01 = 7,108.97 : x
  2. Step 2: Convert to fraction form
    21,161.66/31,720.01 = 7,108.97/x
  3. Step 3: Cross multiply
    21,161.66x = 31,720.01 × 7,108.97
  4. Step 4: Simplify right side
    21,161.66x = 225,496,405.34
  5. Step 5: Solve for x
    x = 225,496,405.34/21,161.66
  6. Step 6: Final answer
    x = 10,655.90

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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.