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Finding the Fourth Proportional to 13,866.24, 20,799.48 and 7,723.20

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Solution

The fourth proportional to 13,866.24, 20,799.48 and 7,723.20 is: 11,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.24 : 20,799.48 = 7,723.20 : x
  2. Step 2: Convert to fraction form
    13,866.24/20,799.48 = 7,723.20/x
  3. Step 3: Cross multiply
    13,866.24x = 20,799.48 × 7,723.20
  4. Step 4: Simplify right side
    13,866.24x = 160,638,543.94
  5. Step 5: Solve for x
    x = 160,638,543.94/13,866.24
  6. Step 6: Final answer
    x = 11,584.87

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1.5x scale

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.