Home / 13,830.24-20,745.12-4,596

Finding the Fourth Proportional to 13,830.24, 20,745.12 and 4,596

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Solution

The fourth proportional to 13,830.24, 20,745.12 and 4,596 is: 6,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.24 : 20,745.12 = 4,596 : x
  2. Step 2: Convert to fraction form
    13,830.24/20,745.12 = 4,596/x
  3. Step 3: Cross multiply
    13,830.24x = 20,745.12 × 4,596
  4. Step 4: Simplify right side
    13,830.24x = 95,344,571.52
  5. Step 5: Solve for x
    x = 95,344,571.52/13,830.24
  6. Step 6: Final answer
    x = 6,893.92

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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.