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Finding the Fourth Proportional to 23,770.49, 32,797.71 and 16,232.49

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Solution

The fourth proportional to 23,770.49, 32,797.71 and 16,232.49 is: 22,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.49 : 32,797.71 = 16,232.49 : x
  2. Step 2: Convert to fraction form
    23,770.49/32,797.71 = 16,232.49/x
  3. Step 3: Cross multiply
    23,770.49x = 32,797.71 × 16,232.49
  4. Step 4: Simplify right side
    23,770.49x = 532,388,499.60
  5. Step 5: Solve for x
    x = 532,388,499.60/23,770.49
  6. Step 6: Final answer
    x = 22,397.04

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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.