Home / 13,822.20-20,742.57-5,058

Finding the Fourth Proportional to 13,822.20, 20,742.57 and 5,058

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Solution

The fourth proportional to 13,822.20, 20,742.57 and 5,058 is: 7,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.20 : 20,742.57 = 5,058 : x
  2. Step 2: Convert to fraction form
    13,822.20/20,742.57 = 5,058/x
  3. Step 3: Cross multiply
    13,822.20x = 20,742.57 × 5,058
  4. Step 4: Simplify right side
    13,822.20x = 104,915,919.06
  5. Step 5: Solve for x
    x = 104,915,919.06/13,822.20
  6. Step 6: Final answer
    x = 7,590.39

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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.