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Finding the Fourth Proportional to 15,874.56, 23,794.56 and 11,952

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Solution

The fourth proportional to 15,874.56, 23,794.56 and 11,952 is: 17,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.56 : 23,794.56 = 11,952 : x
  2. Step 2: Convert to fraction form
    15,874.56/23,794.56 = 11,952/x
  3. Step 3: Cross multiply
    15,874.56x = 23,794.56 × 11,952
  4. Step 4: Simplify right side
    15,874.56x = 284,392,581.12
  5. Step 5: Solve for x
    x = 284,392,581.12/15,874.56
  6. Step 6: Final answer
    x = 17,914.99

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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.