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Finding the Fourth Proportional to 20,208.96, 30,309.12 and 6,354.88

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Solution

The fourth proportional to 20,208.96, 30,309.12 and 6,354.88 is: 9,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,208.96 : 30,309.12 = 6,354.88 : x
  2. Step 2: Convert to fraction form
    20,208.96/30,309.12 = 6,354.88/x
  3. Step 3: Cross multiply
    20,208.96x = 30,309.12 × 6,354.88
  4. Step 4: Simplify right side
    20,208.96x = 192,610,820.51
  5. Step 5: Solve for x
    x = 192,610,820.51/20,208.96
  6. Step 6: Final answer
    x = 9,530.96

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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.