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Finding the Fourth Proportional to 23,879.84, 35,820.16 and 13,343.76

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Solution

The fourth proportional to 23,879.84, 35,820.16 and 13,343.76 is: 20,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,879.84 : 35,820.16 = 13,343.76 : x
  2. Step 2: Convert to fraction form
    23,879.84/35,820.16 = 13,343.76/x
  3. Step 3: Cross multiply
    23,879.84x = 35,820.16 × 13,343.76
  4. Step 4: Simplify right side
    23,879.84x = 477,975,618.20
  5. Step 5: Solve for x
    x = 477,975,618.20/23,879.84
  6. Step 6: Final answer
    x = 20,015.86

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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.