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Finding the Fourth Proportional to 23,196, 34,799.76 and 6,780

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Solution

The fourth proportional to 23,196, 34,799.76 and 6,780 is: 10,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196 : 34,799.76 = 6,780 : x
  2. Step 2: Convert to fraction form
    23,196/34,799.76 = 6,780/x
  3. Step 3: Cross multiply
    23,196x = 34,799.76 × 6,780
  4. Step 4: Simplify right side
    23,196x = 235,942,372.80
  5. Step 5: Solve for x
    x = 235,942,372.80/23,196
  6. Step 6: Final answer
    x = 10,171.68

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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.