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Finding the Fourth Proportional to 24,096, 33,237.12 and 20,716.80

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Solution

The fourth proportional to 24,096, 33,237.12 and 20,716.80 is: 28,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096 : 33,237.12 = 20,716.80 : x
  2. Step 2: Convert to fraction form
    24,096/33,237.12 = 20,716.80/x
  3. Step 3: Cross multiply
    24,096x = 33,237.12 × 20,716.80
  4. Step 4: Simplify right side
    24,096x = 688,566,767.62
  5. Step 5: Solve for x
    x = 688,566,767.62/24,096
  6. Step 6: Final answer
    x = 28,575.98

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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.