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Finding the Fourth Proportional to 15,092, 20,826.96 and 9,204

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Solution

The fourth proportional to 15,092, 20,826.96 and 9,204 is: 12,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092 : 20,826.96 = 9,204 : x
  2. Step 2: Convert to fraction form
    15,092/20,826.96 = 9,204/x
  3. Step 3: Cross multiply
    15,092x = 20,826.96 × 9,204
  4. Step 4: Simplify right side
    15,092x = 191,691,339.84
  5. Step 5: Solve for x
    x = 191,691,339.84/15,092
  6. Step 6: Final answer
    x = 12,701.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.