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Finding the Fourth Proportional to 24,334.86, 33,580.80 and 13,723.80

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Solution

The fourth proportional to 24,334.86, 33,580.80 and 13,723.80 is: 18,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.86 : 33,580.80 = 13,723.80 : x
  2. Step 2: Convert to fraction form
    24,334.86/33,580.80 = 13,723.80/x
  3. Step 3: Cross multiply
    24,334.86x = 33,580.80 × 13,723.80
  4. Step 4: Simplify right side
    24,334.86x = 460,856,379.05
  5. Step 5: Solve for x
    x = 460,856,379.05/24,334.86
  6. Step 6: Final answer
    x = 18,938.12

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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.