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Finding the Fourth Proportional to 24,100.69, 36,149.01 and 8,305.69

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Solution

The fourth proportional to 24,100.69, 36,149.01 and 8,305.69 is: 12,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,100.69 : 36,149.01 = 8,305.69 : x
  2. Step 2: Convert to fraction form
    24,100.69/36,149.01 = 8,305.69/x
  3. Step 3: Cross multiply
    24,100.69x = 36,149.01 × 8,305.69
  4. Step 4: Simplify right side
    24,100.69x = 300,242,470.87
  5. Step 5: Solve for x
    x = 300,242,470.87/24,100.69
  6. Step 6: Final answer
    x = 12,457.84

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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.