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Finding the Fourth Proportional to 24,830.51, 37,246.90 and 8,192

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Solution

The fourth proportional to 24,830.51, 37,246.90 and 8,192 is: 12,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.51 : 37,246.90 = 8,192 : x
  2. Step 2: Convert to fraction form
    24,830.51/37,246.90 = 8,192/x
  3. Step 3: Cross multiply
    24,830.51x = 37,246.90 × 8,192
  4. Step 4: Simplify right side
    24,830.51x = 305,126,604.80
  5. Step 5: Solve for x
    x = 305,126,604.80/24,830.51
  6. Step 6: Final answer
    x = 12,288.37

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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.