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Finding the Fourth Proportional to 20,305.60, 30,464.16 and 12,309.28

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Solution

The fourth proportional to 20,305.60, 30,464.16 and 12,309.28 is: 18,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.60 : 30,464.16 = 12,309.28 : x
  2. Step 2: Convert to fraction form
    20,305.60/30,464.16 = 12,309.28/x
  3. Step 3: Cross multiply
    20,305.60x = 30,464.16 × 12,309.28
  4. Step 4: Simplify right side
    20,305.60x = 374,991,875.40
  5. Step 5: Solve for x
    x = 374,991,875.40/20,305.60
  6. Step 6: Final answer
    x = 18,467.41

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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.