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Finding the Fourth Proportional to 23,694.58, 32,698.02 and 13,084.12

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Solution

The fourth proportional to 23,694.58, 32,698.02 and 13,084.12 is: 18,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.58 : 32,698.02 = 13,084.12 : x
  2. Step 2: Convert to fraction form
    23,694.58/32,698.02 = 13,084.12/x
  3. Step 3: Cross multiply
    23,694.58x = 32,698.02 × 13,084.12
  4. Step 4: Simplify right side
    23,694.58x = 427,824,817.44
  5. Step 5: Solve for x
    x = 427,824,817.44/23,694.58
  6. Step 6: Final answer
    x = 18,055.81

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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.