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Finding the Fourth Proportional to 15,162.23, 20,923.74 and 8,447.73

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Solution

The fourth proportional to 15,162.23, 20,923.74 and 8,447.73 is: 11,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162.23 : 20,923.74 = 8,447.73 : x
  2. Step 2: Convert to fraction form
    15,162.23/20,923.74 = 8,447.73/x
  3. Step 3: Cross multiply
    15,162.23x = 20,923.74 × 8,447.73
  4. Step 4: Simplify right side
    15,162.23x = 176,758,106.11
  5. Step 5: Solve for x
    x = 176,758,106.11/15,162.23
  6. Step 6: Final answer
    x = 11,657.79

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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.