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Finding the Fourth Proportional to 24,129.64, 36,194.46 and 11,809

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Solution

The fourth proportional to 24,129.64, 36,194.46 and 11,809 is: 17,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,129.64 : 36,194.46 = 11,809 : x
  2. Step 2: Convert to fraction form
    24,129.64/36,194.46 = 11,809/x
  3. Step 3: Cross multiply
    24,129.64x = 36,194.46 × 11,809
  4. Step 4: Simplify right side
    24,129.64x = 427,420,378.14
  5. Step 5: Solve for x
    x = 427,420,378.14/24,129.64
  6. Step 6: Final answer
    x = 17,713.50

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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.