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Finding the Fourth Proportional to 13,832.62, 20,748.84 and 6,433

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Solution

The fourth proportional to 13,832.62, 20,748.84 and 6,433 is: 9,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.62 : 20,748.84 = 6,433 : x
  2. Step 2: Convert to fraction form
    13,832.62/20,748.84 = 6,433/x
  3. Step 3: Cross multiply
    13,832.62x = 20,748.84 × 6,433
  4. Step 4: Simplify right side
    13,832.62x = 133,477,287.72
  5. Step 5: Solve for x
    x = 133,477,287.72/13,832.62
  6. Step 6: Final answer
    x = 9,649.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.