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Finding the Fourth Proportional to 20,477.60, 30,732.60 and 8,003.60

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Solution

The fourth proportional to 20,477.60, 30,732.60 and 8,003.60 is: 12,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.60 : 30,732.60 = 8,003.60 : x
  2. Step 2: Convert to fraction form
    20,477.60/30,732.60 = 8,003.60/x
  3. Step 3: Cross multiply
    20,477.60x = 30,732.60 × 8,003.60
  4. Step 4: Simplify right side
    20,477.60x = 245,971,437.36
  5. Step 5: Solve for x
    x = 245,971,437.36/20,477.60
  6. Step 6: Final answer
    x = 12,011.73

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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.