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Finding the Fourth Proportional to 39,498, 59,256.72 and 11,796

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Solution

The fourth proportional to 39,498, 59,256.72 and 11,796 is: 17,696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,498 : 59,256.72 = 11,796 : x
  2. Step 2: Convert to fraction form
    39,498/59,256.72 = 11,796/x
  3. Step 3: Cross multiply
    39,498x = 59,256.72 × 11,796
  4. Step 4: Simplify right side
    39,498x = 698,992,269.12
  5. Step 5: Solve for x
    x = 698,992,269.12/39,498
  6. Step 6: Final answer
    x = 17,696.90

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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.