Home / 13,866-20,786.31-5,094.24

Finding the Fourth Proportional to 13,866, 20,786.31 and 5,094.24

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Solution

The fourth proportional to 13,866, 20,786.31 and 5,094.24 is: 7,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866 : 20,786.31 = 5,094.24 : x
  2. Step 2: Convert to fraction form
    13,866/20,786.31 = 5,094.24/x
  3. Step 3: Cross multiply
    13,866x = 20,786.31 × 5,094.24
  4. Step 4: Simplify right side
    13,866x = 105,890,451.85
  5. Step 5: Solve for x
    x = 105,890,451.85/13,866
  6. Step 6: Final answer
    x = 7,636.70

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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.