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Finding the Fourth Proportional to 20,977.60, 31,466.40 and 20,171.20

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Solution

The fourth proportional to 20,977.60, 31,466.40 and 20,171.20 is: 30,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.60 : 31,466.40 = 20,171.20 : x
  2. Step 2: Convert to fraction form
    20,977.60/31,466.40 = 20,171.20/x
  3. Step 3: Cross multiply
    20,977.60x = 31,466.40 × 20,171.20
  4. Step 4: Simplify right side
    20,977.60x = 634,715,047.68
  5. Step 5: Solve for x
    x = 634,715,047.68/20,977.60
  6. Step 6: Final answer
    x = 30,256.80

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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.