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Finding the Fourth Proportional to 20,513.66, 30,797.76 and 13,872.48

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Solution

The fourth proportional to 20,513.66, 30,797.76 and 13,872.48 is: 20,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.66 : 30,797.76 = 13,872.48 : x
  2. Step 2: Convert to fraction form
    20,513.66/30,797.76 = 13,872.48/x
  3. Step 3: Cross multiply
    20,513.66x = 30,797.76 × 13,872.48
  4. Step 4: Simplify right side
    20,513.66x = 427,241,309.64
  5. Step 5: Solve for x
    x = 427,241,309.64/20,513.66
  6. Step 6: Final answer
    x = 20,827.16

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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.