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Finding the Fourth Proportional to 13,932.64, 20,882.85 and 6,420.49

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Solution

The fourth proportional to 13,932.64, 20,882.85 and 6,420.49 is: 9,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932.64 : 20,882.85 = 6,420.49 : x
  2. Step 2: Convert to fraction form
    13,932.64/20,882.85 = 6,420.49/x
  3. Step 3: Cross multiply
    13,932.64x = 20,882.85 × 6,420.49
  4. Step 4: Simplify right side
    13,932.64x = 134,078,129.60
  5. Step 5: Solve for x
    x = 134,078,129.60/13,932.64
  6. Step 6: Final answer
    x = 9,623.31

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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.