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Finding the Fourth Proportional to 13,888.28, 20,832.36 and 3,500

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Solution

The fourth proportional to 13,888.28, 20,832.36 and 3,500 is: 5,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.28 : 20,832.36 = 3,500 : x
  2. Step 2: Convert to fraction form
    13,888.28/20,832.36 = 3,500/x
  3. Step 3: Cross multiply
    13,888.28x = 20,832.36 × 3,500
  4. Step 4: Simplify right side
    13,888.28x = 72,913,260
  5. Step 5: Solve for x
    x = 72,913,260/13,888.28
  6. Step 6: Final answer
    x = 5,249.98

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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.