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Finding the Fourth Proportional to 15,211.81, 20,992.12 and 8,498.09

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Solution

The fourth proportional to 15,211.81, 20,992.12 and 8,498.09 is: 11,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.81 : 20,992.12 = 8,498.09 : x
  2. Step 2: Convert to fraction form
    15,211.81/20,992.12 = 8,498.09/x
  3. Step 3: Cross multiply
    15,211.81x = 20,992.12 × 8,498.09
  4. Step 4: Simplify right side
    15,211.81x = 178,392,925.05
  5. Step 5: Solve for x
    x = 178,392,925.05/15,211.81
  6. Step 6: Final answer
    x = 11,727.26

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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.