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Finding the Fourth Proportional to 13,538.96, 20,309.52 and 4,304.96

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Solution

The fourth proportional to 13,538.96, 20,309.52 and 4,304.96 is: 6,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.96 : 20,309.52 = 4,304.96 : x
  2. Step 2: Convert to fraction form
    13,538.96/20,309.52 = 4,304.96/x
  3. Step 3: Cross multiply
    13,538.96x = 20,309.52 × 4,304.96
  4. Step 4: Simplify right side
    13,538.96x = 87,431,671.22
  5. Step 5: Solve for x
    x = 87,431,671.22/13,538.96
  6. Step 6: Final answer
    x = 6,457.78

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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.