Home / 13,822.24-20,734.32-4,588

Finding the Fourth Proportional to 13,822.24, 20,734.32 and 4,588

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Solution

The fourth proportional to 13,822.24, 20,734.32 and 4,588 is: 6,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.24 : 20,734.32 = 4,588 : x
  2. Step 2: Convert to fraction form
    13,822.24/20,734.32 = 4,588/x
  3. Step 3: Cross multiply
    13,822.24x = 20,734.32 × 4,588
  4. Step 4: Simplify right side
    13,822.24x = 95,129,060.16
  5. Step 5: Solve for x
    x = 95,129,060.16/13,822.24
  6. Step 6: Final answer
    x = 6,882.32

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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.