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Finding the Fourth Proportional to 13,638.32, 20,421 and 7,786.88

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Solution

The fourth proportional to 13,638.32, 20,421 and 7,786.88 is: 11,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.32 : 20,421 = 7,786.88 : x
  2. Step 2: Convert to fraction form
    13,638.32/20,421 = 7,786.88/x
  3. Step 3: Cross multiply
    13,638.32x = 20,421 × 7,786.88
  4. Step 4: Simplify right side
    13,638.32x = 159,015,876.48
  5. Step 5: Solve for x
    x = 159,015,876.48/13,638.32
  6. Step 6: Final answer
    x = 11,659.49

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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.