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Finding the Fourth Proportional to 20,289.36, 30,438.32 and 8,602.32

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Solution

The fourth proportional to 20,289.36, 30,438.32 and 8,602.32 is: 12,905.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289.36 : 30,438.32 = 8,602.32 : x
  2. Step 2: Convert to fraction form
    20,289.36/30,438.32 = 8,602.32/x
  3. Step 3: Cross multiply
    20,289.36x = 30,438.32 × 8,602.32
  4. Step 4: Simplify right side
    20,289.36x = 261,840,168.90
  5. Step 5: Solve for x
    x = 261,840,168.90/20,289.36
  6. Step 6: Final answer
    x = 12,905.29

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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.