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Finding the Fourth Proportional to 39,496, 59,253.36 and 11,794.72

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Solution

The fourth proportional to 39,496, 59,253.36 and 11,794.72 is: 17,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,496 : 59,253.36 = 11,794.72 : x
  2. Step 2: Convert to fraction form
    39,496/59,253.36 = 11,794.72/x
  3. Step 3: Cross multiply
    39,496x = 59,253.36 × 11,794.72
  4. Step 4: Simplify right side
    39,496x = 698,876,790.26
  5. Step 5: Solve for x
    x = 698,876,790.26/39,496
  6. Step 6: Final answer
    x = 17,694.88

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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.