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Finding the Fourth Proportional to 15,213.78, 20,992.95 and 8,498.58

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Solution

The fourth proportional to 15,213.78, 20,992.95 and 8,498.58 is: 11,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,213.78 : 20,992.95 = 8,498.58 : x
  2. Step 2: Convert to fraction form
    15,213.78/20,992.95 = 8,498.58/x
  3. Step 3: Cross multiply
    15,213.78x = 20,992.95 × 8,498.58
  4. Step 4: Simplify right side
    15,213.78x = 178,410,265.01
  5. Step 5: Solve for x
    x = 178,410,265.01/15,213.78
  6. Step 6: Final answer
    x = 11,726.89

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1.5x scale

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.