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Finding the Fourth Proportional to 16,704.96, 25,149.84 and 13,827.84

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Solution

The fourth proportional to 16,704.96, 25,149.84 and 13,827.84 is: 20,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.96 : 25,149.84 = 13,827.84 : x
  2. Step 2: Convert to fraction form
    16,704.96/25,149.84 = 13,827.84/x
  3. Step 3: Cross multiply
    16,704.96x = 25,149.84 × 13,827.84
  4. Step 4: Simplify right side
    16,704.96x = 347,767,963.55
  5. Step 5: Solve for x
    x = 347,767,963.55/16,704.96
  6. Step 6: Final answer
    x = 20,818.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.