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Finding the Fourth Proportional to 23,297, 32,151.14 and 13,361.64

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Solution

The fourth proportional to 23,297, 32,151.14 and 13,361.64 is: 18,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297 : 32,151.14 = 13,361.64 : x
  2. Step 2: Convert to fraction form
    23,297/32,151.14 = 13,361.64/x
  3. Step 3: Cross multiply
    23,297x = 32,151.14 × 13,361.64
  4. Step 4: Simplify right side
    23,297x = 429,591,958.27
  5. Step 5: Solve for x
    x = 429,591,958.27/23,297
  6. Step 6: Final answer
    x = 18,439.80

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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.