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Finding the Fourth Proportional to 13,609.24, 20,414 and 4,844.52

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Solution

The fourth proportional to 13,609.24, 20,414 and 4,844.52 is: 7,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.24 : 20,414 = 4,844.52 : x
  2. Step 2: Convert to fraction form
    13,609.24/20,414 = 4,844.52/x
  3. Step 3: Cross multiply
    13,609.24x = 20,414 × 4,844.52
  4. Step 4: Simplify right side
    13,609.24x = 98,896,031.28
  5. Step 5: Solve for x
    x = 98,896,031.28/13,609.24
  6. Step 6: Final answer
    x = 7,266.83

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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.