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Finding the Fourth Proportional to 23,697.70, 32,704.76 and 13,629.40

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Solution

The fourth proportional to 23,697.70, 32,704.76 and 13,629.40 is: 18,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.70 : 32,704.76 = 13,629.40 : x
  2. Step 2: Convert to fraction form
    23,697.70/32,704.76 = 13,629.40/x
  3. Step 3: Cross multiply
    23,697.70x = 32,704.76 × 13,629.40
  4. Step 4: Simplify right side
    23,697.70x = 445,746,255.94
  5. Step 5: Solve for x
    x = 445,746,255.94/23,697.70
  6. Step 6: Final answer
    x = 18,809.68

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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.