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Finding the Fourth Proportional to 19,563, 29,344.50 and 7,884.42

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Solution

The fourth proportional to 19,563, 29,344.50 and 7,884.42 is: 11,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,563 : 29,344.50 = 7,884.42 : x
  2. Step 2: Convert to fraction form
    19,563/29,344.50 = 7,884.42/x
  3. Step 3: Cross multiply
    19,563x = 29,344.50 × 7,884.42
  4. Step 4: Simplify right side
    19,563x = 231,364,362.69
  5. Step 5: Solve for x
    x = 231,364,362.69/19,563
  6. Step 6: Final answer
    x = 11,826.63

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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.