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Finding the Fourth Proportional to 13,679.53, 20,519.28 and 7,832.08

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Solution

The fourth proportional to 13,679.53, 20,519.28 and 7,832.08 is: 11,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.53 : 20,519.28 = 7,832.08 : x
  2. Step 2: Convert to fraction form
    13,679.53/20,519.28 = 7,832.08/x
  3. Step 3: Cross multiply
    13,679.53x = 20,519.28 × 7,832.08
  4. Step 4: Simplify right side
    13,679.53x = 160,708,642.50
  5. Step 5: Solve for x
    x = 160,708,642.50/13,679.53
  6. Step 6: Final answer
    x = 11,748.11

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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.