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Finding the Fourth Proportional to 21,161.70, 31,756.05 and 10,080.90

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Solution

The fourth proportional to 21,161.70, 31,756.05 and 10,080.90 is: 15,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.70 : 31,756.05 = 10,080.90 : x
  2. Step 2: Convert to fraction form
    21,161.70/31,756.05 = 10,080.90/x
  3. Step 3: Cross multiply
    21,161.70x = 31,756.05 × 10,080.90
  4. Step 4: Simplify right side
    21,161.70x = 320,129,564.45
  5. Step 5: Solve for x
    x = 320,129,564.45/21,161.70
  6. Step 6: Final answer
    x = 15,127.78

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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.