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Finding the Fourth Proportional to 24,514.73, 36,776.87 and 7,873.48

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Solution

The fourth proportional to 24,514.73, 36,776.87 and 7,873.48 is: 11,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,514.73 : 36,776.87 = 7,873.48 : x
  2. Step 2: Convert to fraction form
    24,514.73/36,776.87 = 7,873.48/x
  3. Step 3: Cross multiply
    24,514.73x = 36,776.87 × 7,873.48
  4. Step 4: Simplify right side
    24,514.73x = 289,561,950.41
  5. Step 5: Solve for x
    x = 289,561,950.41/24,514.73
  6. Step 6: Final answer
    x = 11,811.75

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1.5x scale

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.