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Finding the Fourth Proportional to 19,679.27, 29,513.50 and 11,775.57

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Solution

The fourth proportional to 19,679.27, 29,513.50 and 11,775.57 is: 17,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.27 : 29,513.50 = 11,775.57 : x
  2. Step 2: Convert to fraction form
    19,679.27/29,513.50 = 11,775.57/x
  3. Step 3: Cross multiply
    19,679.27x = 29,513.50 × 11,775.57
  4. Step 4: Simplify right side
    19,679.27x = 347,538,211.32
  5. Step 5: Solve for x
    x = 347,538,211.32/19,679.27
  6. Step 6: Final answer
    x = 17,660.12

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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.