Home / 13,633.12-20,456.16-6,706

Finding the Fourth Proportional to 13,633.12, 20,456.16 and 6,706

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Solution

The fourth proportional to 13,633.12, 20,456.16 and 6,706 is: 10,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.12 : 20,456.16 = 6,706 : x
  2. Step 2: Convert to fraction form
    13,633.12/20,456.16 = 6,706/x
  3. Step 3: Cross multiply
    13,633.12x = 20,456.16 × 6,706
  4. Step 4: Simplify right side
    13,633.12x = 137,179,008.96
  5. Step 5: Solve for x
    x = 137,179,008.96/13,633.12
  6. Step 6: Final answer
    x = 10,062.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.