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Finding the Fourth Proportional to 23,698.70, 32,706.14 and 13,630.40

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Solution

The fourth proportional to 23,698.70, 32,706.14 and 13,630.40 is: 18,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.70 : 32,706.14 = 13,630.40 : x
  2. Step 2: Convert to fraction form
    23,698.70/32,706.14 = 13,630.40/x
  3. Step 3: Cross multiply
    23,698.70x = 32,706.14 × 13,630.40
  4. Step 4: Simplify right side
    23,698.70x = 445,797,770.66
  5. Step 5: Solve for x
    x = 445,797,770.66/23,698.70
  6. Step 6: Final answer
    x = 18,811.06

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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.