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Finding the Fourth Proportional to 20,716.80, 31,038.60 and 20,031.60

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Solution

The fourth proportional to 20,716.80, 31,038.60 and 20,031.60 is: 30,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.80 : 31,038.60 = 20,031.60 : x
  2. Step 2: Convert to fraction form
    20,716.80/31,038.60 = 20,031.60/x
  3. Step 3: Cross multiply
    20,716.80x = 31,038.60 × 20,031.60
  4. Step 4: Simplify right side
    20,716.80x = 621,752,819.76
  5. Step 5: Solve for x
    x = 621,752,819.76/20,716.80
  6. Step 6: Final answer
    x = 30,012.01

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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.