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Finding the Fourth Proportional to 19,701, 29,560.14 and 11,493

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Solution

The fourth proportional to 19,701, 29,560.14 and 11,493 is: 17,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701 : 29,560.14 = 11,493 : x
  2. Step 2: Convert to fraction form
    19,701/29,560.14 = 11,493/x
  3. Step 3: Cross multiply
    19,701x = 29,560.14 × 11,493
  4. Step 4: Simplify right side
    19,701x = 339,734,689.02
  5. Step 5: Solve for x
    x = 339,734,689.02/19,701
  6. Step 6: Final answer
    x = 17,244.54

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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.