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Finding the Fourth Proportional to 17,196.30, 25,794.54 and 7,829.77

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Solution

The fourth proportional to 17,196.30, 25,794.54 and 7,829.77 is: 11,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.30 : 25,794.54 = 7,829.77 : x
  2. Step 2: Convert to fraction form
    17,196.30/25,794.54 = 7,829.77/x
  3. Step 3: Cross multiply
    17,196.30x = 25,794.54 × 7,829.77
  4. Step 4: Simplify right side
    17,196.30x = 201,965,315.46
  5. Step 5: Solve for x
    x = 201,965,315.46/17,196.30
  6. Step 6: Final answer
    x = 11,744.70

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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.