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Finding the Fourth Proportional to 19,414.62, 29,102.49 and 16,537.50

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Solution

The fourth proportional to 19,414.62, 29,102.49 and 16,537.50 is: 24,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,414.62 : 29,102.49 = 16,537.50 : x
  2. Step 2: Convert to fraction form
    19,414.62/29,102.49 = 16,537.50/x
  3. Step 3: Cross multiply
    19,414.62x = 29,102.49 × 16,537.50
  4. Step 4: Simplify right side
    19,414.62x = 481,282,428.38
  5. Step 5: Solve for x
    x = 481,282,428.38/19,414.62
  6. Step 6: Final answer
    x = 24,789.69

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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.